On maximal subgroups of free idempotent generated semigroups

被引：0

作者：

R. Gray

N. Ruskuc

机构：

[1] Centro de Álgebra da Universidade de Lisboa,School of Mathematics and Statistics

[2] University of St Andrews,undefined

来源：

Israel Journal of Mathematics | 2012年 / 189卷

关键词：

Maximal Subgroup; Regular Semigroup; Minimal Ideal; Rectangular Band; Ideal Extension;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We prove the following results: (1) Every group is a maximal subgroup of some free idempotent generated semigroup. (2) Every finitely presented group is a maximal subgroup of some free idempotent generated semigroup arising from a finite semigroup. (3) Every group is a maximal subgroup of some free regular idempotent generated semigroup. (4) Every finite group is a maximal subgroup of some free regular idempotent generated semigroup arising from a finite regular semigroup. As a technical prerequisite for these results we establish a general presentation for the maximal subgroups based on a Reidemeister-Schreier type rewriting.

引用

页码：147 / 176

页数：29

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