EVERY GROUP IS A MAXIMAL SUBGROUP OF THE FREE IDEMPOTENT GENERATED SEMIGROUP OVER A BAND-Reference-Cited by-同舟云学术

EVERY GROUP IS A MAXIMAL SUBGROUP OF THE FREE IDEMPOTENT GENERATED SEMIGROUP OVER A BAND

Published:2013-04-16 Issue:03 Volume:23 Page:573-581
ISSN:0218-1967
Container-title:International Journal of Algebra and Computation
language:en
Short-container-title:Int. J. Algebra Comput.

Author:

DOLINKA IGOR¹,RUŠKUC NIK²

Affiliation:

1. Department of Mathematics and Informatics, University of Novi Sad, Trg Dositeja Obradovića 4, 21101 Novi Sad, Serbia

2. School of Mathematics and Statistics, University of St Andrews, St Andrews KY16 9SS, Scotland, UK

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218196713500100

Reference18 articles.

1. Subgroups of free idempotent generated semigroups need not be free

2. A note on maximal subgroups of free idempotent generated semigroups over bands

3. Biordered sets of bands

4. Biordered sets are biordered subsets of idempotents of semigroups

5. Biordered sets come from semigroups

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