Outer automorphism groups of certain polygonal products of groups
Bull. Korean Math. Soc. 2008 Vol. 45, No. 1, 45-52
Published online March 1, 2008
Goansu Kim
Yeungnam University
Abstract : We show that certain polygonal products of any four groups, amalgamating central subgroups with trivial intersections, have Property E. Using this result, we derive that outer automorphism groups of polygonal products of four polycyclic-by-finite groups, amalgamating central subgroups with trivial intersections, are residually finite.
Keywords : polygonal products of groups, generalized free products, residually finite, conjugacy separable, outer automorphism groups
MSC numbers : Primary 20E26, 20E06; Secondary 20F34, 57M05
Full-Text :

   

Copyright © Korean Mathematical Society. All Rights Reserved.
The Korea Science Technology Center (Rm. 411), 22, Teheran-ro 7-gil, Gangnam-gu, Seoul 06130, Korea
Tel: 82-2-565-0361  | Fax: 82-2-565-0364  | E-mail: paper@kms.or.kr   | Powered by INFOrang Co., Ltd