A finitely presented group with unbounded dead-end depth

S Cleary, TR Riley

Research output: Contribution to journalArticle (Academic Journal)peer-review

19 Citations (Scopus)

Abstract

The dead-end depth of an element g of a group G, with respect to a generating set A, is the distance from g to the complement of the radius d(A)(1, g) closed ball, in the word metric d(A) defined with respect to A. We exhibit a finitely presented group G with a finite generating set with respect to which there is no upper bound on the dead-end depth of elements.
Translated title of the contributionA finitely presented group with unbounded dead-end depth
Original languageEnglish
Pages (from-to)343 - 349
Number of pages7
JournalProceedings of the American Mathematical Society
Volume134 (2)
DOIs
Publication statusPublished - Aug 2006

Bibliographical note

Publisher: American Mathematical Society

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