The structure of automorphism groups of semigroup inflations
Algebra and discrete mathematics, no. 1 (2007), pp. 61-66
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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
Mots-clés : automorphism group.
Mots-clés : automorphism group.
@article{ADM_2007_1_a5,
author = {Ganna Kudryavtseva},
title = {The structure of automorphism groups of semigroup inflations},
journal = {Algebra and discrete mathematics},
pages = {61--66},
publisher = {mathdoc},
number = {1},
year = {2007},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ADM_2007_1_a5/}
}
Ganna Kudryavtseva. The structure of automorphism groups of semigroup inflations. Algebra and discrete mathematics, no. 1 (2007), pp. 61-66. http://geodesic.mathdoc.fr/item/ADM_2007_1_a5/