#19038: Better hash on FPGroups
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Reporter: nbruin | Owner:
Type: defect | Status: new
Priority: major | Milestone: sage-6.9
Component: algebra | Resolution:
Keywords: | Merged in:
Authors: | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
Dependencies: | Stopgaps:
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Comment (by nbruin):
For a non-finite group we'd end up doing something like this:
{{{
FpElementNFFunction=libgap.function_factory("FpElementNFFunction")
UnderlyingElement=libgap.function_factory("UnderlyingElement")
}}}
{{{
sage: Q=G.quotient([a*b])
sage: f=FpElementNFFunction(ElementsFamily(FamilyObj(Q.gap())))
sage: newhash=lambda q: hash(f(UnderlyingElement(q.gap())))
sage: L=[Q.0^i*Q.1^j*Q.0^k for i in range(-2,2) for j in range(-2,2) for k
in range(-2,2)]
sage: collections.Counter((u==v,newhash(u)==newhash(v) ) for u in L for v
in L)
Counter({(False, False): 3516, (True, True): 580})
}}}
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Ticket URL: <http://trac.sagemath.org/ticket/19038#comment:3>
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