Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

Article

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J. Korean Math. Soc. 2008; 45(6): 1741-1752

Printed November 1, 2008

Copyright © The Korean Mathematical Society.

Outer automorphism groups of polygonal products of certain conjugacy separable groups

Goansu Kim and Chi Yu Tang

Yeungnam University and University of Waterloo

Abstract

Grossman [7] showed that certain cyclically pinched 1-relator groups have residually finite outer automorphism groups. In this paper we prove that tree products of finitely generated free groups amalgamating maximal cyclic subgroups have residually finite outer automorphism groups. We also prove that polygonal products of finitely generated central subgroup separable groups amalgamating trivial intersecting central subgroups have residually finite outer automorphism groups.

Keywords: polygonal products of groups, generalized free products, residually finite, conjugacy separable, outer automorphism groups

MSC numbers: Primary 20E26, 20E06; Secondary 20F34