group multiplication seems to depend on order sometimes #13569
Description
See this ask.sagemath.org question. This doesn't always happen, but usually happens pretty soon.
sage: G.random_element()*H.random_element()
(1,3,2)
sage: H.random_element()*G.random_element()
()
sage: H.random_element()*G.random_element()
(1,2,3)
sage: H.random_element()*G.random_element()
(1,2,3)
sage: H.random_element()*G.random_element()
(1,3,2)
sage: H.random_element()*G.random_element()
ERROR: An unexpected error occurred while tokenizing input
TypeError: unsupported operand parent(s) for '*': 'Alternating group of order 3!/2 as a permutation group' and 'Symmetric group of order 3! as a permutation group'
Component: group theory
Issue created by migration from https://trac.sagemath.org/ticket/13569