The structure of automorphism groups of semigroup inflations

• Published in: Algebra and Discrete Mathematics
• Date: 2007
• ISSN: 1726-3255
• Main Author: Kudryavtseva, G.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2007
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/157347
• 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.

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.