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http://hdl.handle.net/10023/2004
| Title: | Finite groups are big as semigroups |
| Authors: | Dolinka, Igor
Ruskuc, Nik |
| Keywords: | Finite maximal subsemigroup
Rees matrix semigroup
QA Mathematics |
| Issue Date: | Sep-2011 |
| Citation: | Dolinka , I & Ruskuc , N 2011 , ' Finite groups are big as semigroups ' Archiv der Mathematik , vol 97 , no. 3 , pp. 209-217 . |
| 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. |
| Version: | Postprint |
| Status: | Peer reviewed |
| URI: | http://hdl.handle.net/10023/2004 |
| DOI: | http://dx.doi.org/10.1007/s00013-011-0297-3 |
| ISSN: | 0003-889X |
| Type: | 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. |
| Appears in Collections: | University of St Andrews Research
Mathematics & Statistics Research
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