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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| Datum: | 2018 |
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| Format: | Artikel |
| Sprache: | English |
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Lugansk National Taras Shevchenko University
2018
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| Online Zugang: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/835 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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oai:ojs.admjournal.luguniv.edu.ua:article-8352018-03-21T11:52:32Z The structure of automorphism groups of semigroup inflations Kudryavtseva, Ganna semigroup inflation, semidirect product, automorphism group 20M10 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. Lugansk National Taras Shevchenko University 2018-03-21 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/835 Algebra and Discrete Mathematics; Vol 6, No 1 (2007) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/835/366 Copyright (c) 2018 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| baseUrl_str |
|
| datestamp_date |
2018-03-21T11:52:32Z |
| collection |
OJS |
| language |
English |
| topic |
semigroup inflation semidirect product automorphism group 20M10 |
| spellingShingle |
semigroup inflation semidirect product automorphism group 20M10 Kudryavtseva, Ganna The structure of automorphism groups of semigroup inflations |
| topic_facet |
semigroup inflation semidirect product automorphism group 20M10 |
| format |
Article |
| author |
Kudryavtseva, Ganna |
| author_facet |
Kudryavtseva, Ganna |
| author_sort |
Kudryavtseva, Ganna |
| title |
The structure of automorphism groups of semigroup inflations |
| 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 |
| 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. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/835 |
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AT kudryavtsevaganna thestructureofautomorphismgroupsofsemigroupinflations AT kudryavtsevaganna structureofautomorphismgroupsofsemigroupinflations |
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2025-07-17T10:31:39Z |
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2025-07-17T10:31:39Z |
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1837890140430663680 |