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Paper Information

Title: 

CENTRAL AUTOMORPHISMS OF SEMIDIRECT PRODUCT OF FINITE GROUPS

Type: PAPER
Author(s): MOOSAVI H.,SHOMALI A.
 
 
 
Name of Seminar: SEMINAR ON ALGEBRA (SALG20)
Type of Seminar:  CONFERENCE
Sponsor:  TARBIAT MOALLEM UNIVERSITY, FACULTY OF MATHEMATICAL SCIENCES AND COMPUTER
Date:  2009Volume 20
 
 
Abstract: 

In this paper we find the order and structure of Autc(G) for G = K H by imposing some conditions on H and K. As a result, we show that if M is a non-normal maximal subgroup of a solvable group G, such that all central automorphisms of G fix CoreG(M) pointwise, then Autc(G), is meta-abelian.

 
Keyword(s): CENTRAL AUTOMORPHISM, SOLVABLE GROUP, SEMIDIRECT GROUP
 
 
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