#14994: Direct product for finitely presented groups
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Reporter: dshurbert | Owner:
Type: enhancement | Status:
Priority: minor | needs_review
Component: group theory | Milestone:
Keywords: group presentations, direct | Resolution:
product | Merged in:
Authors: Davis Shurbert | Reviewers: Travis
Report Upstream: N/A | Scrimshaw
Branch: | Work issues:
Dependencies: #14790, #14913 | Commit:
| Stopgaps:
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Description changed by tscrim:
Old description:
> Implementation for the wrapping of GAP's {{{DirectProduct}}} function for
> finitely presented groups.
> {{{
> sage: G = FreeGroup()
> sage: C3 = G / [G([1,1,1])]
> sage: C3.direct_product(C3)
> Finitely presented group < a, b | a^3, b^3, a^-1*b^-1*a*b >
> }}}
> My approach is object oriented as a {{{FinitelyPresentedGroup}}} method,
> as opposed to a function call such as {{{direct_product_fpgroups}}}
> taking a list of groups as input.
> Depends on #14790 for variable names, and #14913 for fp group
> computations in doctests.
>
> __Apply__
>
> 1 [attachment:trac_14994_direct_product_fpgroups.patch]
New description:
Implementation for the wrapping of GAP's {{{DirectProduct}}} function for
finitely presented groups.
{{{
sage: G = FreeGroup()
sage: C3 = G / [G([1,1,1])]
sage: C3.direct_product(C3)
Finitely presented group < a, b | a^3, b^3, a^-1*b^-1*a*b >
}}}
My approach is object oriented as a {{{FinitelyPresentedGroup}}} method,
as opposed to a function call such as {{{direct_product_fpgroups}}} taking
a list of groups as input.
Depends on #14790 for variable names, and #14913 for fp group computations
in doctests.
__Apply__
* [attachment:trac_14994_direct_product_fpgroups.patch]
* [attachment:trac_14994-review-ts.patch]
--
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Ticket URL: <http://trac.sagemath.org/ticket/14994#comment:9>
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