The structure of automorphism groups of semigroup inflations
In this paper we prove that the automorphism group of a semigroup being an inflation of its proper subsemigroup decomposes into a semidirect product of two groups one of which is a direct sum of full symmetric groups.
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| Veröffentlicht in: | Algebra and Discrete Mathematics |
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| Datum: | 2007 |
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Інститут прикладної математики і механіки НАН України
2007
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/157347 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | The structure of automorphism groups of semigroup inflations / G. Kudryavtseva // Algebra and Discrete Mathematics. — 2007. — Vol. 6, № 1. — С. 61–66. — Бібліогр.: 7 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Zusammenfassung: | In this paper we prove that the automorphism
group of a semigroup being an inflation of its proper subsemigroup
decomposes into a semidirect product of two groups one of which
is a direct sum of full symmetric groups.
|
|---|---|
| ISSN: | 1726-3255 |