#8500: Add the set of TransitiveGroups
-----------------------------+----------------------------------------------
Reporter: nborie | Owner: nborie
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-4.3.4
Component: group_theory | Keywords: transitive group
Author: Nicolas Borie | Upstream: N/A
Reviewer: | Merged:
Work_issues: |
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Old description:
> depend on #8524
>
> The goal of this patch is implement a proper infinite set of category
> InfiniteEnumeratedSet of transitive groups. This set is built as a
> disjoint union of Finite Enumerated Sets of all set of Transitive groups
> of a given degree.
>
> This allows a user to do:
> {{{
> for G in TransitiveGroups(i):
> any_test(G) # any test over all transitive groups of a given degree
>
> for G in TransitiveGroups():
> other_test(G) # test over all transitive groups
> }}}
>
> This will requires the optional database_gap.
>
> As the database of Gap is finite, the enumeration stop with a
> NonImplementedError at degree 30.
New description:
depends on #8524
The goal of this patch is implement a proper infinite set of category
InfiniteEnumeratedSet of transitive groups. This set is built as a
disjoint union of Finite Enumerated Sets of all set of Transitive groups
of a given degree.
This allows a user to do:
{{{
for G in TransitiveGroups(i):
any_test(G) # any test over all transitive groups of a given degree
for G in TransitiveGroups():
other_test(G) # test over all transitive groups
}}}
This will requires the optional database_gap.
As the database of Gap is finite, the enumeration stop with a
NonImplementedError at degree 30.
--
Comment(by nborie):
I just update the patch : I forgot some # optional. Done..
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8500#comment:11>
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