The unbounded dead-end depth property is not a group invariant

TR Riley, AD Warshall

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

7 Citations (Scopus)

Abstract

The dead-end depth of an element g of a group with finite 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). We exhibit a finitely presented group K with two finite generating sets A and B such that dead-end depth is unbounded on K with respect to A but is bounded above by three with respect to B.
Translated title of the contributionThe unbounded dead-end depth property is not a group invariant
Original languageEnglish
Pages (from-to)969 - 983
Number of pages15
JournalInternational Journal of Algebra and Computation
Volume16 (5)
DOIs
Publication statusPublished - Oct 2006

Bibliographical note

Publisher: World Scientific Publ Co Pte Ltd

Fingerprint Dive into the research topics of 'The unbounded dead-end depth property is not a group invariant'. Together they form a unique fingerprint.

Cite this