ǂThe ǂstructure of automorphism groups of semigroup inflations

Abstract

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

matematika;algebra;polgrupe;grupe avtomorfizmov polgrup;podpolgrupe;poldirektni produkt;mathematics;automorphism groups of semigroups;subsemigroups;semidirect products;semigroup inflations;symmetric groups;

Data

Language:	English
Year of publishing:	2007
Typology:	1.01 - Original Scientific Article
Organization:	UNG - University of Nova Gorica
UDC:	512.53
COBISS:	874747
ISSN:	1726-3255
Views:	4252
Downloads:	27
Average score:	0 (0 votes)
Metadata:

Other data

Secondary language:	Unknown
Secondary keywords:	mathematics;algebra;automorphism groups of semigroups;subsemigroups;semidirect products;semigroup inflations;symmetric groups;
URN:	URN:SI:UNG
Type (COBISS):	Not categorized
Pages:	str. 62-67
Issue:	ǂNo. ǂ1
Chronology:	2007
Keywords (UDC):	mathematics;natural sciences;naravoslovne vede;matematika;mathematics;matematika;algebra;algebra;
ID:	64648