OpenMath Content Dictionary: permgrp

Canonical URL:
http://www.openmath.org/cd/permgrp.ocd
CD Base:
http://www.openmath.org/cd
CD File:
permgrp.ocd
CD as XML Encoded OpenMath:
permgrp.omcd
Defines:
is_primitive, is_transitive, orbit, stabilizer
Date:
2004-03-30
Version:
3 (Revision 1)
Review Date:
2017-12-31
Status:
experimental


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  Author: OpenMath Consortium
  SourceURL: https://github.com/OpenMath/CDs
            

A CD of functions for permutation groups

Written by A. Solomon on 1998-11-19
Modified by David Carlisle 1999-04-28

orbit

Role:
application
Description:

The binary function whose value is the set of integers which are in the orbit of the second argument under the action of the first argument which is a permutation group.

Signatures:
sts


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stabilizer

Role:
application
Description:

The first argument is a permutation group, the second is some object (point or set) upon which the first argument acts. The value is the subgroup of the first argument which stabilize the second argument.

Signatures:
sts


[Next: is_transitive] [Previous: orbit] [Top]

is_transitive

Role:
application
Description:

The unary function whose value is true iff the permutation group argument acts transitively.

Signatures:
sts


[Next: is_primitive] [Previous: stabilizer] [Top]

is_primitive

Role:
application
Description:

The unary function whose value is true iff its permutation group argument acts primitively.

Signatures:
sts


[First: orbit] [Previous: is_transitive] [Top]