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problems with groups of type FPGroup #1836

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ThomasBreuer opened this issue Dec 21, 2022 · 0 comments
Open

problems with groups of type FPGroup #1836

ThomasBreuer opened this issue Dec 21, 2022 · 0 comments
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bug Something isn't working topic: groups
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@ThomasBreuer
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@fieker found these problems, see the examples shown in #1835.

The type FPGroup describes subgroups of groups that are given by finite sets of generators and relators.
On the GAP side, there is a distinction between GAP.Globals.IsFpGroup and GAP.Globals.IsSubgroupFpGroup,
and functions such as GAP.Globals.RelatorsOfFpGroup are defined only for GAP.Globals.IsFpGroup.
Thus the current Oscar function relators(G::FPGroup) does not work in general.
Similarly, forming quotients of general groups of type FPGroup may not work if the corresponding GAP group is only in GAP.Globals.IsSubgroupFpGroup; or if it works, the returned GAP object is not suitable for being used on the Oscar side, or is perhaps not reliable at all.

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Labels
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