A GENERATING SET FOR THE AUTOMORPHISM GROUP OF A GRAPH PRODUCT OF ABELIAN GROUPS-Reference-Cited by-同舟云学术

A GENERATING SET FOR THE AUTOMORPHISM GROUP OF A GRAPH PRODUCT OF ABELIAN GROUPS

Published:2012-02 Issue:01 Volume:22 Page:1250003
ISSN:0218-1967
Container-title:International Journal of Algebra and Computation
language:en
Short-container-title:Int. J. Algebra Comput.

Author:

CORREDOR L. J.¹,GUTIERREZ M. A.²

Affiliation:

1. Departamento de Matemáticas, Universidad de los Andes, Bogotá, Colombia

2. Mathematics Department, Tufts University, Medford, MA 02155, USA

Abstract

We find a set of generators for the automorphism group Aut G of a graph product G of finitely generated abelian groups entirely from a certain labeled graph. In addition, we find generators for the important subgroup Aut ⋆ G defined in [Automorphisms of graph products of abelian groups, to appear in Groups, Geometry and Dynamics]. We follow closely the plan of M. Laurence's paper [A generating set for the automorphism group of a graph group, J. London Math. Soc. (2)52(2) (1995) 318–334].

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218196711006698

Reference16 articles.

1. Centralizers in graph products of groups

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4. Isomorphisms of graph groups

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