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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One-relator Groups
Automorphism Group
Group Action
Automorphisms
Deduce
Sufficient
Class

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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.
Gilbert, N. D. ; Howie, J. ; Metaftsis, V. ; Raptis, E. / Tree actions of automorphism groups. In: Journal of Group Theory. 2000 ; Vol. 3, No. 2. pp. 213-223.
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Gilbert, ND, Howie, J, Metaftsis, V & Raptis, E 2000, 'Tree actions of automorphism groups', Journal of Group Theory, vol. 3, no. 2, pp. 213-223.

Tree actions of automorphism groups. / Gilbert, N. D.; Howie, J.; Metaftsis, V.; Raptis, E.

In: Journal of Group Theory, Vol. 3, No. 2, 2000, p. 213-223.

Research output: Contribution to journalArticle

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AU - Gilbert, N. D.

AU - Howie, J.

AU - Metaftsis, V.

AU - Raptis, E.

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AB - 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.

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