The structure of automorphism groups of semigroup inflations

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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Bibliographic Details
Date:2018
Main Author: Kudryavtseva, Ganna
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2018
Subjects:
semigroup inflation
semidirect product
automorphism group
20M10
Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/835
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics
id oai:ojs.admjournal.luguniv.edu.ua:article-835
record_format ojs
spelling 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
work_keys_str_mv AT kudryavtsevaganna thestructureofautomorphismgroupsofsemigroupinflations
AT kudryavtsevaganna structureofautomorphismgroupsofsemigroupinflations
first_indexed 2025-07-17T10:31:39Z
last_indexed 2025-07-17T10:31:39Z
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