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SG::FactorPerm -- tests whether a permutation factorizes into a direct product

Call(s)


SG::FactorPerm(perm)

Parameters

perm- any list denoting a permutation

Introduction

Given a permutation perm in Sn, the SG::FactorPerm function tests whether perm belongs to a Young sub-group Si x Sj

The result is a couple Test,l where Test is a boolean and l the minimal length of a left block.

Example 1

>> muEC::SG::FactorPerm( [3,1,2,5,4,7,6] );
                                  TRUE, 3

Related Functions

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MuPAD Combinat, an open source algebraic combinatorics package