On generators and presentations of semidirect products in inverse semigroups

Erzsebet Rita Dombi; Nik Ruskuc

doi:10.1017/S0004972708000890

On generators and presentations of semidirect products in inverse semigroups

Erzsebet Rita Dombi, Nik Ruskuc

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper we prove two main results. The first is a necessary and sufficient condition for a semidirect product of a semilattice by a group to be finitely generated. The second result is a necessary and sufficient condition for such a semidirect product to be finitely presented.

Original language	English
Pages (from-to)	353-365
Number of pages	13
Journal	Bulletin of the Australian Mathematical Society
Volume	79
Issue number	3
Early online date	17 Apr 2009
DOIs	https://doi.org/10.1017/S0004972708000890
Publication status	Published - Jun 2009

Keywords

Inverse semigroups
Semidirect products
Generators
Presentations
Groups
Semilattices
Actions
Finite generation
Presentability
Monoids

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10.1017/S0004972708000890

DombiRuskuc2009BullAustMathSoc79Generators
(c) 2009 Australian Mathematical Society
Final published version, 140 KB

Cite this

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KW - Generators

KW - Presentations

KW - Groups

KW - Semilattices

KW - Actions

KW - Finite generation

KW - Presentability

KW - Monoids

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On generators and presentations of semidirect products in inverse semigroups

Abstract

Keywords

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EP/C523229/1: Multidisciplinary Critical Mass in Computational Algebra and Applications

Cite this

On generators and presentations of semidirect products in inverse semigroups

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Projects

EP/C523229/1: Multidisciplinary Critical Mass in Computational Algebra and Applications

Cite this