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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

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