#12407: Add the set of PrimitiveGroups
----------------------------+-----------------------------------------------
Reporter: trehn | Owner: joyner
Type: enhancement | Status: new
Priority: major | Milestone: sage-5.0
Component: group theory | Keywords: primitive groups
Work_issues: | Upstream: N/A
Reviewer: | Author: Thomas Rehn
Merged: | Dependencies:
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This patch implements the finite enumerated set of primitive permutation
groups of a given degree, and the infinite enumerated set of all primitive
permutation groups. It is based on the work done in #8500 for transitive
permutation groups.
This allows a user to do:
{{{
sage: PrimitiveGroups(4).cardinality()
sage: for G in PrimitiveGroups(i):
... any_test(G) # any test over all primitive groups of a given
degree
sage: for G in PrimitiveGroups():
... other_test(G) # test over all primitive groups
}}}
This requires the optional database_gap which contains all the primitive
permutation groups of degree <= 2499. Therefore, in practice, the
enumeration stops with a NonImplementedError?
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12407>
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