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

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.

MSC: 20M10

Received: 19.11.2005
Revised: 28.05.2007

Language: English

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