Title: THE NIELSEN METHOD FOR GROUPS ACTING ON TREES
Abstract: Proceedings of the London Mathematical SocietyVolume 85, Issue 1 p. 93-118 Articles The Nielsen Method For Groups Acting on Trees Richard Weidmann, Richard Weidmann [email protected] Fakultät für Mathematik, Ruhr-Universität Bochum, D-44780 Bochum, GermanySearch for more papers by this author Richard Weidmann, Richard Weidmann [email protected] Fakultät für Mathematik, Ruhr-Universität Bochum, D-44780 Bochum, GermanySearch for more papers by this author First published: 23 December 2016 https://doi.org/10.1112/plms/85.1.93Citations: 12AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onEmailFacebookTwitterLinkedInRedditWechat Abstract We use Nielsen methods to study generating sets of subgroups of groups that act on simplicial trees and give several applications. In particular, we exhibit an explicit bound for the complexity of acylindrical splittings of a finitely generated group in terms of its rank. This is applied to JSJ-splittings of word-hyperbolic groups and 3-manifolds. As a last application we construct examples of amalgamated products that show that there exists no non-trivial rank formula for amalgamated products. 2000 Mathematical Subject Classification: 20E06, 20E08, 57M27. Citing Literature Volume85, Issue1July 2002Pages 93-118 RelatedInformation
Publication Year: 2002
Publication Date: 2002-03-01
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 9
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