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http://dx.doi.org/10.4134/BKMS.2012.49.5.949

CLASS-PRESERVING AUTOMORPHISMS OF GENERALIZED FREE PRODUCTS AMALGAMATING A CYCLIC NORMAL SUBGROUP  

Zhou, Wei (School of Mathematics and Statistics Southwest University)
Kim, Goan-Su (Department of Mathematics Yeungnam University)
Publication Information
Bulletin of the Korean Mathematical Society / v.49, no.5, 2012 , pp. 949-959 More about this Journal
Abstract
In general, a class-preserving automorphism of generalized free products of nilpotent groups, amalgamating a cyclic normal subgroup of order 8, need not be an inner automorphism. We prove that every class-preserving automorphism of generalized free products of nitely generated nilpotent groups, amalgamating a cyclic normal subgroup of order less than 8, is inner.
Keywords
class-preserving automorphisms; generalized free products; nilpotent groups; residually finite;
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