#14813: Finitely generated abelian group presentations
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Reporter: dshurbert | Owner: tbd
Type: enhancement | Status: needs_info
Priority: minor | Milestone: sage-5.12
Component: PLEASE CHANGE | Resolution:
Keywords: abelian group presentations | Work issues:
Report Upstream: N/A | Reviewers:
Authors: Davis Shurbert | Merged in:
Dependencies: #14790, #14791 | Stopgaps:
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Changes (by dshurbert):
* status: new => needs_info
Old description:
> Method to construct finitely generated abelian groups as quotients of
> free groups. User inputs a list of integers to define an abelian group,
> then the invariants of the input list are used to build the group as a
> finite presentation.
>
> {{{
> sage:groups.presentation.FGAbelian([2,2])
> Finitely presented group < a, b | a^2, b^2, a^-1*b^-1*a*b >
> sage: groups.presentation.FGAbelian([6,3,5,17])
> Finitely presented group < a, b | a^3, b^510, a^-1*b^-1*a*b >
> }}}
>
> Depends on #14791, which creates the "named" finitely presented groups
> infrastructure.
>
> __Apply__
>
> 1 [attachment:trac_14813_fgabelian_fpgroups.patch]
New description:
Method to construct finitely generated abelian groups as quotients of free
groups. User inputs a list of integers to define an abelian group, then
the invariants of the input list are used to build the group as a finite
presentation.
{{{
sage:groups.presentation.FGAbelian([2,2])
Finitely presented group < a, b | a^2, b^2, a^-1*b^-1*a*b >
sage: groups.presentation.FGAbelian([6,3,5,17])
Finitely presented group < a, b | a^3, b^510, a^-1*b^-1*a*b >
}}}
Depends on #14791, which creates the "named" finitely presented groups
infrastructure, and #14790 which
gives the python generator needed for variable names.
__Apply__
1 [attachment:trac_14813_fgabelian_fpgroups.patch]
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/14813#comment:3>
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