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src/sage/groups/perm_gps/permgroup.py: bullet-proof a test #40441

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Merged
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Aug 2, 2025
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src/sage/groups/perm_gps/permgroup.py: bullet-proof a test #40441

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10 changes: 3 additions & 7 deletions src/sage/groups/perm_gps/permgroup.py
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Original file line number Diff line number Diff line change
Expand Up @@ -3131,15 +3131,11 @@ def as_finitely_presented_group(self, reduced=False):

sage: PermutationGroup([]).as_finitely_presented_group()
Finitely presented group < a | a >
sage: S = SymmetricGroup(6)
sage: S = SymmetricGroup(4)
sage: perm_ls = [S.random_element() for i in range(3)]
sage: G = PermutationGroup(perm_ls)
sage: while True:
....: try:
....: assert G.as_finitely_presented_group().as_permutation_group().is_isomorphic(G) # sometimes results in GAP error (see :issue:`32141`)
....: break
....: except ValueError:
....: pass
sage: G.as_finitely_presented_group().as_permutation_group().is_isomorphic(G)
True

`D_9` is the only non-Abelian group of order 18
with an automorphism group of order 54 [TW1980]_::
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