#14910: to_presentation method for permutation groups
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Reporter: dshurbert | Owner:
Type: enhancement | Status: new
Priority: minor | Milestone:
Component: group theory | Keywords: group presentations
Merged in: | Authors: Davis Shurbert
Reviewers: | Report Upstream: N/A
Work issues: | Branch:
Dependencies: #14790 | Stopgaps:
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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.
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1 [attachment:trac_...patch]
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Ticket URL: <http://trac.sagemath.org/ticket/14910>
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