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http://dx.doi.org/10.4134/JKMS.2008.45.6.1741

OUTER AUTOMORPHISM GROUPS OF POLYGONAL PRODUCTS OF CERTAIN CONJUGACY SEPARABLE GROUPS  

Kim, Goan-Su (DEPARTMENT OF MATHEMATICS YEUNGNAM UNIVERSITY)
Tang, Chi Yu (DEPARTMENT OF PURE MATHEMATICS UNIVERSITY OF WATERLOO)
Publication Information
Journal of the Korean Mathematical Society / v.45, no.6, 2008 , pp. 1741-1752 More about this Journal
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;
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Times Cited By KSCI : 2  (Citation Analysis)
Times Cited By Web Of Science : 1  (Related Records In Web of Science)
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