#14910: to_presentation method for permutation groups
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Reporter: dshurbert | Owner:
Type: enhancement | Status: new
Priority: minor | Milestone:
Component: group theory | Resolution:
Keywords: group presentations | Merged in:
Authors: Davis Shurbert | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Dependencies: #14790
Stopgaps: |
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Description changed by dshurbert:
Old description:
> The permutation group method to_presentation wraps the GAP function
> ``IsomorphismFpGroupByGenerators`` which yields an isomorphism from a
> given group to an isomorphic finite presentation. ``to_presentation``
> takes the image of the isomorphism returned by this function and wraps it
> as a Sage finitely presented group.
>
> {{{
> sage: G = DihedralGroup(8); G
> Dihedral group of order 16 as a permutation group
> sage: G.to_presentation()
> Finitely presented group < a, b | b^2, b*a^-1*b*a^-1, a^8 >
> }}}
> Depends on #14790 which gives the python generator object needed for
> variable names.
>
> __Apply__
>
> 1 [attachment:trac_14910_to_presentation.patch]
New description:
The permutation group method to_presentation wraps the GAP function
IsomorphismFpGroupByGenerators which yields an isomorphism from a given
group to an isomorphic finite presentation. to_presentation takes the
image of the isomorphism returned by this function and wraps it as a Sage
finitely presented group.
{{{
sage: G = DihedralGroup(8); G
Dihedral group of order 16 as a permutation group
sage: G.to_presentation()
Finitely presented group < a, b | b^2, b*a^-1*b*a^-1, a^8 >
}}}
Depends on #14790 which gives the python generator object needed for
variable names.
__Apply__
1 [attachment:trac_14910_to_presentation.patch]
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Ticket URL: <http://trac.sagemath.org/ticket/14910#comment:3>
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