SgpDec: Cascade (de)compositions of finite transformation semigroups and permutation groups

Attila Egri-Nagy, James D. Mitchell, C.L. Nehaniv

Research output: Chapter in Book/Report/Conference proceedingConference contribution

4 Citations (Scopus)
188 Downloads (Pure)

Abstract

We describe how the SgpDec computer algebra package can be used for composing and decomposing permutation groups and transformation semigroups hierarchically by directly constructing substructures of wreath products, the so called cascade products.

Original languageEnglish
Title of host publicationMathematical Software - LCMS 2014
PublisherSpringer Nature
Pages75-82
Number of pages8
ISBN (Electronic)978-3-662-44199-2
ISBN (Print)9783662441985
DOIs
Publication statusPublished - 2014
Event4th International Congress on Mathematical Software, ICMS 2014 - Seoul, Unknown
Duration: 5 Aug 20149 Aug 2014

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume8592
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference4th International Congress on Mathematical Software, ICMS 2014
Country/TerritoryUnknown
CitySeoul
Period5/08/149/08/14

Keywords

  • Krohn-Rhodes Theory
  • permutation group
  • transformation semigroup
  • wreath product

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