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: | Englisch |
| Veröffentlicht: |
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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Algebra and Discrete Mathematics| _version_ | 1856543168085884928 |
|---|---|
| author | Kudryavtseva, Ganna |
| author_facet | Kudryavtseva, Ganna |
| author_sort | Kudryavtseva, Ganna |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2018-03-21T11:52:32Z |
| 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. |
| first_indexed | 2026-02-08T07:58:07Z |
| format | Article |
| id | admjournalluguniveduua-article-835 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2026-02-08T07:58:07Z |
| publishDate | 2018 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-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 |
| spellingShingle | semigroup inflation semidirect product automorphism group 20M10 Kudryavtseva, Ganna The structure of automorphism groups of semigroup inflations |
| title | 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_short | The structure of automorphism groups of semigroup inflations |
| title_sort | structure of automorphism groups of semigroup inflations |
| topic | semigroup inflation semidirect product automorphism group 20M10 |
| topic_facet | semigroup inflation semidirect product automorphism group 20M10 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/835 |
| work_keys_str_mv | AT kudryavtsevaganna thestructureofautomorphismgroupsofsemigroupinflations AT kudryavtsevaganna structureofautomorphismgroupsofsemigroupinflations |