Special Issue: International Conference on Semigroups and Groups in Honor of the 65th Birthday of Prof. John RhodesNo Access

THE GROUP OF AUTOMORPHISMS OF A 3-GENERATED 2-GROUP OF INTERMEDIATE GROWTH

R. I. GRIGORCHUK

Department of Mathematics, Texas A&M University, College Station, TX 77843-3368, USA

Also at Steklov Mathematical Institute, Gubkina street 8, Moscow 117966, Russia.

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and

S. N. SIDKI

Departamento de Matemática, Universidade de Brasília, 70910-900 Brasília-DF, Brazil

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https://doi.org/10.1142/S0218196704001943Cited by:4 (Source: Crossref)

Abstract

The automorphism group of a 3-generated 2-group G of intermediate growth is determined and it is shown that the outer group of automorphisms of G is an elementary abelian 2-group of infinite rank.

We dedicate this paper to John Rhodes on his 65th birthday

Keywords:

AMSC: Primary 20F05, Primary 20F10

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