Class-preserving automorphisms and inner automorphisms of certain tree products of groups

Title
Class-preserving automorphisms and inner automorphisms of certain tree products of groups
Author(s)
김관수Wei Zhou[Wei Zhou]
Keywords
RESIDUAL FINITENESS; SEPARABILITY
Issue Date
201109
Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
Citation
JOURNAL OF ALGEBRA, v.341, no.1, pp.198 - 208
Abstract
In general, a class-preserving automorphism of generalized free products of nilpotent groups need not be an inner automorphism. We prove that every class-preserving automorphism of tree products of finitely generated nilpotent or free groups, amalgamating infinite cyclic subgroups, is inner. It follows that the outer automorphism groups of such tree products, amalgamating infinite cyclic subgroups, are residually finite. (C) 2011 Elsevier Inc. All rights reserved.
URI
http://hdl.handle.net/YU.REPOSITORY/24590http://dx.doi.org/10.1016/j.jalgebra.2011.05.036
ISSN
0021-8693
Appears in Collections:
이과대학 > 수학과 > Articles
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