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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| Published in: | Algebra and Discrete Mathematics |
|---|---|
| Date: | 2007 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2007
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/157347 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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| _version_ | 1862700426034413568 |
|---|---|
| author | Kudryavtseva, G. |
| author_facet | Kudryavtseva, G. |
| 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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 | 2025-12-07T16:38:55Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-157347 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T16:38:55Z |
| publishDate | 2007 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | The structure of automorphism groups of semigroup inflations Kudryavtseva, G. |
| 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/157347 |
| work_keys_str_mv | AT kudryavtsevag thestructureofautomorphismgroupsofsemigroupinflations AT kudryavtsevag structureofautomorphismgroupsofsemigroupinflations |