J. Korean Math. Soc. 2008; 45(6): 1741-1752
Printed November 1, 2008
Copyright © The Korean Mathematical Society.
Goansu Kim and Chi Yu Tang
Yeungnam University and University of Waterloo
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
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