Every group is a maximal subgroup of the free idempotent generated semigroup over a band

I Dolinka; Nik Ruskuc

doi:10.1142/S0218196713500100

Every group is a maximal subgroup of the free idempotent generated semigroup over a band

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

Abstract

Given an arbitrary group G we construct a semigroup of idempotents (band) BG with the property that the free idempotent generated semigroup over BG has a maximal subgroup isomorphic to G. If G is finitely presented then BG is finite. This answers several questions from recent papers in the area.

Original language	English
Pages (from-to)	573-581
Journal	International Journal of Algebra and Computation
Volume	23
Issue number	3
Early online date	1 Mar 2013
DOIs	https://doi.org/10.1142/S0218196713500100
Publication status	Published - May 2013

Keywords

Free idempotent generated semigroup
Maximal subgroup
Band

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10.1142/S0218196713500100

IGbandsDR3
Electronic version of an article published in Int. J. Algebra Comput. DOI: 10.1142/S0218196713500100 © [copyright World Scientific Publishing Company] http://www.worldscientific.com/worldscinet/ijac
Accepted author manuscript, 109 KB

Theory of Semigroups: Representation theory of Semigroups
Ruskuc, N. (PI)
EPSRC
1/04/12 → 30/09/15
Project: Standard

Cite this

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abstract = "Given an arbitrary group G we construct a semigroup of idempotents (band) BG with the property that the free idempotent generated semigroup over BG has a maximal subgroup isomorphic to G. If G is finitely presented then BG is finite. This answers several questions from recent papers in the area.",

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AU - Ruskuc, Nik

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AB - Given an arbitrary group G we construct a semigroup of idempotents (band) BG with the property that the free idempotent generated semigroup over BG has a maximal subgroup isomorphic to G. If G is finitely presented then BG is finite. This answers several questions from recent papers in the area.

KW - Free idempotent generated semigroup

KW - Maximal subgroup

KW - Band

U2 - 10.1142/S0218196713500100

DO - 10.1142/S0218196713500100

M3 - Article

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EP - 581

JO - International Journal of Algebra and Computation

JF - International Journal of Algebra and Computation

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Every group is a maximal subgroup of the free idempotent generated semigroup over a band

Abstract

Keywords

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Projects

Theory of Semigroups: Representation theory of Semigroups

Cite this