fix bug with generating random elements of SmallGroup(1,1)

qldpc/abstract.py

@@ -831,6 +831,10 @@ def __init__(self, order: int, index: int) -> None:
  super()._init_from_group(Group.from_name(name))
  self.index = index
 
+ def random(self, *, seed: int | None = None) -> GroupMember:
+ """A random element this group."""
+ return super().random(seed=seed) if self.index > 1 else self.identity
+
  @functools.cached_property
  def structure(self) -> str:
  """A description of the structure of this group."""

qldpc/abstract_test.py

@@ -230,4 +230,6 @@ def test_small_group() -> None:
  assert group.structure == structure
 
  # cover a special case
- assert abstract.Group.from_name("SmallGroup(1,1)") == abstract.TrivialGroup()
+ group = abstract.SmallGroup(1, 1)
+ assert group == abstract.TrivialGroup()
+ assert group.random() == group.identity