Tree actions of automorphism groups

N. D. Gilbert, J. Howie, V. Metaftsis, E. Raptis

Research output: Contribution to journalArticle

Abstract

We introduce conditions on a group action on a tree that are sufficient for the action to extend to the automorphism group. We apply this to two different classes of one-relator groups: certain Baumslag-Solitar groups and one-relator groups with centre. In each case we derive results about the automorphism group, and deduce that there are relatively few outer automorphisms.

Original languageEnglish
Pages (from-to)213-223
Number of pages11
JournalJournal of Group Theory
Volume3
Issue number2
Publication statusPublished - 2000

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    Gilbert, N. D., Howie, J., Metaftsis, V., & Raptis, E. (2000). Tree actions of automorphism groups. Journal of Group Theory, 3(2), 213-223.