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Algebra and Discrete Mathematics, 2007, Issue 1, Pages 61–66 (Mi adm188)  
RESEARCH ARTICLE

The structure of automorphism groups of semigroup inflations

Ganna Kudryavtseva

Department of Mechanics and Mathematics, Kyiv Taras Shevchenko University, Volodymyrs'ka, 60, Kyiv, 01033, Ukraine
Full-text PDF (181 kB)
Abstract: 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.
Keywords: semigroup inflation, semidirect product, automorphism group.
Received: 19.11.2005
Revised: 28.05.2007
Bibliographic databases:
Document Type: Article
MSC: 20M10
Language: English
Citation: Ganna Kudryavtseva, “The structure of automorphism groups of semigroup inflations”, Algebra Discrete Math., 2007, no. 1, 61–66
Citation in format AMSBIB
\Bibitem{Kud07}
\by Ganna~Kudryavtseva
\paper The structure of automorphism groups of semigroup inflations
\jour Algebra Discrete Math.
\yr 2007
\issue 1
\pages 61--66
\mathnet{http://mi.mathnet.ru/adm188}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2367515}
\zmath{https://zbmath.org/?q=an:1158.20033}
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