Finite groups are big as semigroups
Abstract
We prove that a finite group G occurs as a maximal proper subsemigroup of an infinite semigroup (in the terminology of Freese, Ježek, and Nation, G is a big semigroup) if and only if |G| ≥ 3. In fact, any finite semigroup whose minimal ideal contains a subgroup with at least three elements is big.
Citation
Dolinka , I & Ruskuc , N 2011 , ' Finite groups are big as semigroups ' Archiv der Mathematik , vol 97 , no. 3 , pp. 209-217 . DOI: 10.1007/s00013-011-0297-3
Publication
Archiv der Mathematik
Status
Peer reviewed
ISSN
0003-889XType
Journal article
Rights
This is an author version of this article. The original publication is available at www.springerlink.com copyright (c) 2011 Springer Basel AG.
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