diff --git a/zarr/storage.py b/zarr/storage.py
index aa46e59e79..d698e0e0ee 100644
--- a/zarr/storage.py
+++ b/zarr/storage.py
@@ -1081,8 +1081,11 @@ def _normalize_key(self, key):
         return key.lower() if self.normalize_keys else key
 
     def getitems(self, keys, **kwargs):
-        keys = [self._normalize_key(key) for key in keys]
-        return self.map.getitems(keys, on_error="omit")
+        keys_transformed = [self._normalize_key(key) for key in keys]
+        results = self.map.getitems(keys_transformed, on_error="omit")
+        # The function calling this method may not recognize the transformed keys
+        # So we send the values returned by self.map.getitems back into the original key space.
+        return {keys[keys_transformed.index(rk)]: rv for rk, rv in results.items()}
 
     def __getitem__(self, key):
         key = self._normalize_key(key)
@@ -1144,9 +1147,28 @@ def dir_path(self, path=None):
     def listdir(self, path=None):
         dir_path = self.dir_path(path)
         try:
-            out = sorted(p.rstrip('/').rsplit('/', 1)[-1]
-                         for p in self.fs.ls(dir_path, detail=False))
-            return out
+            children = sorted(p.rstrip('/').rsplit('/', 1)[-1]
+                              for p in self.fs.ls(dir_path, detail=False))
+            if self.key_separator != "/":
+                return children
+            else:
+                if array_meta_key in children:
+                    # special handling of directories containing an array to map nested chunk
+                    # keys back to standard chunk keys
+                    new_children = []
+                    root_path = self.dir_path(path)
+                    for entry in children:
+                        entry_path = os.path.join(root_path, entry)
+                        if _prog_number.match(entry) and self.fs.isdir(entry_path):
+                            for file_name in self.fs.find(entry_path):
+                                file_path = os.path.join(dir_path, file_name)
+                                rel_path = file_path.split(root_path)[1]
+                                new_children.append(rel_path.replace(os.path.sep, '.'))
+                        else:
+                            new_children.append(entry)
+                    return sorted(new_children)
+                else:
+                    return children
         except IOError:
             return []
 
@@ -2739,6 +2761,7 @@ class ConsolidatedMetadataStore(MutableMapping):
     zarr.convenience.consolidate_metadata, zarr.convenience.open_consolidated
 
     """
+
     def __init__(self, store, metadata_key='.zmetadata'):
         self.store = store
 
diff --git a/zarr/tests/test_core.py b/zarr/tests/test_core.py
index 6914cff87e..08e59acda4 100644
--- a/zarr/tests/test_core.py
+++ b/zarr/tests/test_core.py
@@ -35,8 +35,9 @@
 from zarr.util import buffer_size
 from zarr.tests.util import skip_test_env_var, have_fsspec
 
-
 # noinspection PyMethodMayBeStatic
+
+
 class TestArray(unittest.TestCase):
 
     def test_array_init(self):
@@ -1079,7 +1080,7 @@ def test_structured_array_nested(self):
                       (1, (1, ((1, 2), (2, 3), (3, 4)), 1), b'bbb'),
                       (2, (2, ((2, 3), (3, 4), (4, 5)), 2), b'ccc')],
                      dtype=[('foo', 'i8'), ('bar', [('foo', 'i4'), ('bar', '(3, 2)f4'),
-                            ('baz', 'u1')]), ('baz', 'S3')])
+                                                    ('baz', 'u1')]), ('baz', 'S3')])
         fill_values = None, b'', (0, (0, ((0, 0), (1, 1), (2, 2)), 0), b'zzz')
         self.check_structured_array(d, fill_values)
 
@@ -1802,7 +1803,7 @@ def test_structured_array_nested(self):
                       (1, (1, ((1, 2), (2, 3), (3, 4)), 1), b'bbb'),
                       (2, (2, ((2, 3), (3, 4), (4, 5)), 2), b'ccc')],
                      dtype=[('foo', 'i8'), ('bar', [('foo', 'i4'), ('bar', '(3, 2)f4'),
-                            ('baz', 'u1')]), ('baz', 'S3')])
+                                                    ('baz', 'u1')]), ('baz', 'S3')])
         fill_values = None, b'', (0, (0, ((0, 0), (1, 1), (2, 2)), 0), b'zzz')
         with pytest.raises(TypeError):
             self.check_structured_array(d, fill_values)
@@ -2469,7 +2470,8 @@ class TestArrayWithFSStore(TestArray):
     def create_array(read_only=False, **kwargs):
         path = mkdtemp()
         atexit.register(shutil.rmtree, path)
-        store = FSStore(path)
+        key_separator = kwargs.pop('key_separator', ".")
+        store = FSStore(path, key_separator=key_separator, auto_mkdir=True)
         cache_metadata = kwargs.pop('cache_metadata', True)
         cache_attrs = kwargs.pop('cache_attrs', True)
         kwargs.setdefault('compressor', Blosc())
@@ -2477,28 +2479,41 @@ def create_array(read_only=False, **kwargs):
         return Array(store, read_only=read_only, cache_metadata=cache_metadata,
                      cache_attrs=cache_attrs)
 
+    def expected(self):
+        return [
+           "ab753fc81df0878589535ca9bad2816ba88d91bc",
+           "c16261446f9436b1e9f962e57ce3e8f6074abe8a",
+           "c2ef3b2fb2bc9dcace99cd6dad1a7b66cc1ea058",
+           "6e52f95ac15b164a8e96843a230fcee0e610729b",
+           "091fa99bc60706095c9ce30b56ce2503e0223f56",
+        ]
+
     def test_hexdigest(self):
+        found = []
+
         # Check basic 1-D array
         z = self.create_array(shape=(1050,), chunks=100, dtype='<i4')
-        assert 'f710da18d45d38d4aaf2afd7fb822fdd73d02957' == z.hexdigest()
+        found.append(z.hexdigest())
 
         # Check basic 1-D array with different type
         z = self.create_array(shape=(1050,), chunks=100, dtype='<f4')
-        assert '1437428e69754b1e1a38bd7fc9e43669577620db' == z.hexdigest()
+        found.append(z.hexdigest())
 
         # Check basic 2-D array
         z = self.create_array(shape=(20, 35,), chunks=10, dtype='<i4')
-        assert '6c530b6b9d73e108cc5ee7b6be3d552cc994bdbe' == z.hexdigest()
+        found.append(z.hexdigest())
 
         # Check basic 1-D array with some data
         z = self.create_array(shape=(1050,), chunks=100, dtype='<i4')
         z[200:400] = np.arange(200, 400, dtype='i4')
-        assert '4c0a76fb1222498e09dcd92f7f9221d6cea8b40e' == z.hexdigest()
+        found.append(z.hexdigest())
 
         # Check basic 1-D array with attributes
         z = self.create_array(shape=(1050,), chunks=100, dtype='<i4')
         z.attrs['foo'] = 'bar'
-        assert '05b0663ffe1785f38d3a459dec17e57a18f254af' == z.hexdigest()
+        found.append(z.hexdigest())
+
+        assert self.expected() == found
 
 
 @pytest.mark.skipif(have_fsspec is False, reason="needs fsspec")
@@ -2573,3 +2588,144 @@ def test_read_from_all_blocks(self):
         z[2:99_000] = 1
         b = Array(z.store, read_only=True, partial_decompress=True)
         assert (b[2:99_000] == 1).all()
+
+
+@pytest.mark.skipif(have_fsspec is False, reason="needs fsspec")
+class TestArrayWithFSStoreNested(TestArray):
+
+    @staticmethod
+    def create_array(read_only=False, **kwargs):
+        path = mkdtemp()
+        atexit.register(shutil.rmtree, path)
+        key_separator = kwargs.pop('key_separator', "/")
+        store = FSStore(path, key_separator=key_separator, auto_mkdir=True)
+        cache_metadata = kwargs.pop('cache_metadata', True)
+        cache_attrs = kwargs.pop('cache_attrs', True)
+        kwargs.setdefault('compressor', Blosc())
+        init_array(store, **kwargs)
+        return Array(store, read_only=read_only, cache_metadata=cache_metadata,
+                     cache_attrs=cache_attrs)
+
+    def expected(self):
+        return [
+           "94884f29b41b9beb8fc99ad7bf9c0cbf0f2ab3c9",
+           "077aa3bd77b8d354f8f6c15dce5ae4f545788a72",
+           "22be95d83c097460adb339d80b2d7fe19c513c16",
+           "85131cec526fa46938fd2c4a6083a58ee11037ea",
+           "c3167010c162c6198cb2bf3c1da2c46b047c69a1",
+        ]
+
+    def test_hexdigest(self):
+        found = []
+
+        # Check basic 1-D array
+        z = self.create_array(shape=(1050,), chunks=100, dtype='<i4')
+        found.append(z.hexdigest())
+
+        # Check basic 1-D array with different type
+        z = self.create_array(shape=(1050,), chunks=100, dtype='<f4')
+        found.append(z.hexdigest())
+
+        # Check basic 2-D array
+        z = self.create_array(shape=(20, 35,), chunks=10, dtype='<i4')
+        found.append(z.hexdigest())
+
+        # Check basic 1-D array with some data
+        z = self.create_array(shape=(1050,), chunks=100, dtype='<i4')
+        z[200:400] = np.arange(200, 400, dtype='i4')
+        found.append(z.hexdigest())
+
+        # Check basic 1-D array with attributes
+        z = self.create_array(shape=(1050,), chunks=100, dtype='<i4')
+        z.attrs['foo'] = 'bar'
+        found.append(z.hexdigest())
+
+        assert self.expected() == found
+
+
+@pytest.mark.skipif(have_fsspec is False, reason="needs fsspec")
+class TestArrayWithFSStoreNestedPartialRead(TestArray):
+    @staticmethod
+    def create_array(read_only=False, **kwargs):
+        path = mkdtemp()
+        atexit.register(shutil.rmtree, path)
+        key_separator = kwargs.pop('key_separator', "/")
+        store = FSStore(path, key_separator=key_separator, auto_mkdir=True)
+        cache_metadata = kwargs.pop("cache_metadata", True)
+        cache_attrs = kwargs.pop("cache_attrs", True)
+        kwargs.setdefault("compressor", Blosc())
+        init_array(store, **kwargs)
+        return Array(
+            store,
+            read_only=read_only,
+            cache_metadata=cache_metadata,
+            cache_attrs=cache_attrs,
+            partial_decompress=True,
+        )
+
+    def expected(self):
+        return [
+           "94884f29b41b9beb8fc99ad7bf9c0cbf0f2ab3c9",
+           "077aa3bd77b8d354f8f6c15dce5ae4f545788a72",
+           "22be95d83c097460adb339d80b2d7fe19c513c16",
+           "85131cec526fa46938fd2c4a6083a58ee11037ea",
+           "c3167010c162c6198cb2bf3c1da2c46b047c69a1",
+        ]
+
+    def test_hexdigest(self):
+        found = []
+
+        # Check basic 1-D array
+        z = self.create_array(shape=(1050,), chunks=100, dtype="<i4")
+        found.append(z.hexdigest())
+
+        # Check basic 1-D array with different type
+        z = self.create_array(shape=(1050,), chunks=100, dtype="<f4")
+        found.append(z.hexdigest())
+
+        # Check basic 2-D array
+        z = self.create_array(
+            shape=(
+                20,
+                35,
+            ),
+            chunks=10,
+            dtype="<i4",
+        )
+        found.append(z.hexdigest())
+
+        # Check basic 1-D array with some data
+        z = self.create_array(shape=(1050,), chunks=100, dtype="<i4")
+        z[200:400] = np.arange(200, 400, dtype="i4")
+        found.append(z.hexdigest())
+
+        # Check basic 1-D array with attributes
+        z = self.create_array(shape=(1050,), chunks=100, dtype="<i4")
+        z.attrs["foo"] = "bar"
+        found.append(z.hexdigest())
+
+        assert self.expected() == found
+
+    def test_non_cont(self):
+        z = self.create_array(shape=(500, 500, 500), chunks=(50, 50, 50), dtype="<i4")
+        z[:, :, :] = 1
+        # actually go through the partial read by accessing a single item
+        assert z[0, :, 0].any()
+
+    def test_read_nitems_less_than_blocksize_from_multiple_chunks(self):
+        '''Tests to make sure decompression doesn't fail when `nitems` is
+        less than a compressed block size, but covers multiple blocks
+        '''
+        z = self.create_array(shape=1000000, chunks=100_000)
+        z[40_000:80_000] = 1
+        b = Array(z.store, read_only=True, partial_decompress=True)
+        assert (b[40_000:80_000] == 1).all()
+
+    def test_read_from_all_blocks(self):
+        '''Tests to make sure `PartialReadBuffer.read_part` doesn't fail when
+        stop isn't in the `start_points` array
+        '''
+        z = self.create_array(shape=1000000, chunks=100_000)
+        z[2:99_000] = 1
+        b = Array(z.store, read_only=True, partial_decompress=True)
+        assert (b[2:99_000] == 1).all()
diff --git a/zarr/tests/test_hierarchy.py b/zarr/tests/test_hierarchy.py
index afecfabdf1..ac2abfe694 100644
--- a/zarr/tests/test_hierarchy.py
+++ b/zarr/tests/test_hierarchy.py
@@ -21,13 +21,13 @@
 from zarr.core import Array
 from zarr.creation import open_array
 from zarr.hierarchy import Group, group, open_group
-from zarr.storage import (ABSStore, DBMStore, DirectoryStore, LMDBStore,
-                          LRUStoreCache, MemoryStore, NestedDirectoryStore,
-                          SQLiteStore, ZipStore, array_meta_key, atexit_rmglob,
-                          atexit_rmtree, group_meta_key, init_array,
-                          init_group)
+from zarr.storage import (ABSStore, DBMStore, DirectoryStore, FSStore,
+                          LMDBStore, LRUStoreCache, MemoryStore,
+                          NestedDirectoryStore, SQLiteStore, ZipStore,
+                          array_meta_key, atexit_rmglob, atexit_rmtree,
+                          group_meta_key, init_array, init_group)
 from zarr.util import InfoReporter
-from zarr.tests.util import skip_test_env_var
+from zarr.tests.util import skip_test_env_var, have_fsspec
 
 
 # noinspection PyStatementEffect
@@ -971,6 +971,51 @@ def create_store():
         return store, None
 
 
+@pytest.mark.skipif(have_fsspec is False, reason="needs fsspec")
+class TestGroupWithFSStore(TestGroup):
+
+    @staticmethod
+    def create_store():
+        path = tempfile.mkdtemp()
+        atexit.register(atexit_rmtree, path)
+        store = FSStore(path)
+        return store, None
+
+    def test_round_trip_nd(self):
+        data = np.arange(1000).reshape(10, 10, 10)
+        name = 'raw'
+
+        store, _ = self.create_store()
+        f = open_group(store, mode='w')
+        f.create_dataset(name, data=data, chunks=(5, 5, 5),
+                         compressor=None)
+        h = open_group(store, mode='r')
+        np.testing.assert_array_equal(h[name][:], data)
+
+
+@pytest.mark.skipif(have_fsspec is False, reason="needs fsspec")
+class TestGroupWithNestedFSStore(TestGroupWithFSStore):
+
+    @staticmethod
+    def create_store():
+        path = tempfile.mkdtemp()
+        atexit.register(atexit_rmtree, path)
+        store = FSStore(path, key_separator='/', auto_mkdir=True)
+        return store, None
+
+    def test_inconsistent_dimension_separator(self):
+        data = np.arange(1000).reshape(10, 10, 10)
+        name = 'raw'
+
+        store, _ = self.create_store()
+        f = open_group(store, mode='w')
+
+        # cannot specify dimension_separator that conflicts with the store
+        with pytest.raises(ValueError):
+            f.create_dataset(name, data=data, chunks=(5, 5, 5),
+                             compressor=None, dimension_separator='.')
+
+
 class TestGroupWithZipStore(TestGroup):
 
     @staticmethod
diff --git a/zarr/util.py b/zarr/util.py
index e3e9fca2f9..eb0b784ded 100644
--- a/zarr/util.py
+++ b/zarr/util.py
@@ -554,7 +554,6 @@ def __init__(self, store_key, chunk_store):
         self.map = self.chunk_store.map
         self.fs = self.chunk_store.fs
         self.store_key = store_key
-        self.key_path = self.map._key_to_str(store_key)
         self.buff = None
         self.nblocks = None
         self.start_points = None
@@ -562,6 +561,12 @@ def __init__(self, store_key, chunk_store):
         self.start_points_max = None
         self.read_blocks = set()
 
+        _key_path = self.map._key_to_str(store_key)
+        _key_path = _key_path.split('/')
+        _chunk_path = [self.chunk_store._normalize_key(_key_path[-1])]
+        _key_path = '/'.join(_key_path[:-1] + _chunk_path)
+        self.key_path = _key_path
+
     def prepare_chunk(self):
         assert self.buff is None
         header = self.fs.read_block(self.key_path, 0, 16)