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 |
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| 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. |
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Kudryavtseva, G. 2019-06-20T02:43:19Z 2019-06-20T02:43:19Z 2007 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. 1726-3255 2000 Mathematics Subject Classification: 20M10. https://nasplib.isofts.kiev.ua/handle/123456789/157347 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. The author expresses her gratitude to Prof. B.V. Novikov for the careful reading of the initial version of this paper. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics The structure of automorphism groups of semigroup inflations Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
The structure of automorphism groups of semigroup inflations |
| spellingShingle |
The structure of automorphism groups of semigroup inflations Kudryavtseva, G. |
| title_short |
The structure of automorphism groups of semigroup inflations |
| title_full |
The structure of automorphism groups of semigroup inflations |
| title_fullStr |
The structure of automorphism groups of semigroup inflations |
| title_full_unstemmed |
The structure of automorphism groups of semigroup inflations |
| title_sort |
structure of automorphism groups of semigroup inflations |
| author |
Kudryavtseva, G. |
| author_facet |
Kudryavtseva, G. |
| publishDate |
2007 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| description |
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 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/157347 |
| citation_txt |
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. |
| work_keys_str_mv |
AT kudryavtsevag thestructureofautomorphismgroupsofsemigroupinflations AT kudryavtsevag structureofautomorphismgroupsofsemigroupinflations |
| first_indexed |
2025-12-07T16:38:55Z |
| last_indexed |
2025-12-07T16:38:55Z |
| _version_ |
1850868273528176640 |