#13365: Add Semidirect Product Method for Permutation Groups
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Reporter: khalasz | Owner: joyner
Type: enhancement | Status: needs_review
Priority: minor | Milestone: sage-5.3
Component: group theory | Resolution:
Keywords: groups semidirect product GAP | Work issues:
Report Upstream: N/A | Reviewers: Benjamin
Jones
Authors: Kevin Halasz | Merged in:
Dependencies: | Stopgaps:
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Comment (by khalasz):
I recently realized that my final test only checked whether or not each
homomorphism listed in the second component of `mapping` was an
endomorphism, but did not test whether or not this homomorphism was indeed
a bijection. I have in its place added two tests, one testing whether or
not each function is an endomorphism, another testing whether or not this
endomorphism is one-one. Together they test whether each function is
indeed an automorphism.
Unfortunately, testing whether or not a function is an injection turns out
to be quite costly, so I have added a check to the method. An updated
patch has been attached.
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13365#comment:11>
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