SgpDec : cascade (De)compositions of finite transformation semigroups and permutation groups

Attila Egri-Nagy; James D. Mitchell; Chrystopher L. Nehaniv

doi:10.1007/978-3-662-44199-2_13

SgpDec : cascade (De)compositions of finite transformation semigroups and permutation groups

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

Research output: Chapter in Book / Conference Paper › Conference Paper › peer-review

9 Citations (Scopus)

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 language	English
Title of host publication	Mathematical Software: ICMS 2014: 4th International Congress, Seoul, South Korea, August 5-9, 2014, Proceedings
Publisher	Springer
Pages	75-82
Number of pages	8
ISBN (Print)	9783662441985
DOIs	https://doi.org/10.1007/978-3-662-44199-2_13
Publication status	Published - 2014
Event	International Congress of Mathematical Software - Duration: 5 Aug 2014 → …

Publication series

Name
ISSN (Print)	0302-9743

Conference

Conference	International Congress of Mathematical Software
Period	5/08/14 → …

Keywords

algebra
artificial intelligence
computer programs
permutation groups
semigroups

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10.1007/978-3-662-44199-2_13

Cite this

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title = "SgpDec : cascade (De)compositions of finite transformation semigroups and permutation groups",

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.",

keywords = "algebra, artificial intelligence, computer programs, permutation groups, semigroups",

author = "Attila Egri-Nagy and Mitchell, {James D.} and Nehaniv, {Chrystopher L.}",

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doi = "10.1007/978-3-662-44199-2_13",

language = "English",

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publisher = "Springer",

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note = "International Congress of Mathematical Software ; Conference date: 05-08-2014",

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Egri-Nagy, A, Mitchell, JD & Nehaniv, CL 2014, SgpDec : cascade (De)compositions of finite transformation semigroups and permutation groups. in Mathematical Software: ICMS 2014: 4th International Congress, Seoul, South Korea, August 5-9, 2014, Proceedings. Springer, pp. 75-82, International Congress of Mathematical Software, 5/08/14. https://doi.org/10.1007/978-3-662-44199-2_13

SgpDec : cascade (De)compositions of finite transformation semigroups and permutation groups. / Egri-Nagy, Attila; Mitchell, James D.; Nehaniv, Chrystopher L.
Mathematical Software: ICMS 2014: 4th International Congress, Seoul, South Korea, August 5-9, 2014, Proceedings. Springer, 2014. p. 75-82.

Research output: Chapter in Book / Conference Paper › Conference Paper › peer-review

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T1 - SgpDec : cascade (De)compositions of finite transformation semigroups and permutation groups

AU - Egri-Nagy, Attila

AU - Mitchell, James D.

AU - Nehaniv, Chrystopher L.

PY - 2014

Y1 - 2014

N2 - 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.

AB - 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.

KW - algebra

KW - artificial intelligence

KW - computer programs

KW - permutation groups

KW - semigroups

UR - http://handle.uws.edu.au:8081/1959.7/uws:28755

UR - http://www.icm2014.org/

U2 - 10.1007/978-3-662-44199-2_13

DO - 10.1007/978-3-662-44199-2_13

M3 - Conference Paper

SN - 9783662441985

SP - 75

EP - 82

BT - Mathematical Software: ICMS 2014: 4th International Congress, Seoul, South Korea, August 5-9, 2014, Proceedings

PB - Springer

T2 - International Congress of Mathematical Software

Y2 - 5 August 2014

ER -

SgpDec : cascade (De)compositions of finite transformation semigroups and permutation groups

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