PROPER ACTIONS OF AUTOMORPHISM GROUPS OF FREE PRODUCTS OF FINITE GROUPS-Reference-Cited by-同舟云学术

PROPER ACTIONS OF AUTOMORPHISM GROUPS OF FREE PRODUCTS OF FINITE GROUPS

Published:2005-04 Issue:02 Volume:15 Page:255-272
ISSN:0218-1967
Container-title:International Journal of Algebra and Computation
language:en
Short-container-title:Int. J. Algebra Comput.

Author:

CHEN YUQING¹,GLOVER HENRY H.²,JENSEN CRAIG A.³

Affiliation:

1. Department of Mathematics, RMIT University, GPO Box 2476V, Melbourne 3001, Australia

2. Department of Mathematics, The Ohio State University, Columbus, OH 43210, USA

3. Department of Mathematics, University of New Orleans, New Orleans, LA 70148, USA

Abstract

If G is a free product of finite groups, let Σ Aut 1(G) denote all (necessarily symmetric) automorphisms of G that do not permute factors in the free product. We show that a McCullough–Miller and Gutiérrez–Krstić derived (also see Bogley–Krstić) space of pointed trees is an [Formula: see text]-space for these groups.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218196705002256

Reference10 articles.

1. The Pure Symmetric Automorphisms of a Free Group Form a Duality Group

2. Rescuing the whitehead method for free products, I: Peak reduction

3. Normal Forms for Basis-Conjugating Automorphisms of a Free Group

4. Contractibility of fixed point sets of auter space

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