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Conjugacy languages in groups
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Ciobanu, Laura, Hermiller, Susan, Holt, Derek F. and Rees, Sarah (2016) Conjugacy languages in groups. Israel Journal of Mathematics, 211 (1). pp. 311-347. doi:10.1007/s11856-015-1274-5 ISSN 0021-2172.
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Official URL: http://dx.doi.org/10.1007/s11856-015-1274-5
Abstract
We study the regularity of several languages derived from conjugacy classes in a finitely generated group G for a variety of examples including word hyperbolic, virtually abelian, Artin, and Garside groups. We also determine the rationality of the growth series of the shortlex conjugacy language in virtually cyclic groups, proving one direction of a conjecture of Rivin.
Item Type: | Journal Article | ||||||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||
Journal or Publication Title: | Israel Journal of Mathematics | ||||||||
Publisher: | Magnes Press | ||||||||
ISSN: | 0021-2172 | ||||||||
Official Date: | February 2016 | ||||||||
Dates: |
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Volume: | 211 | ||||||||
Number: | 1 | ||||||||
Page Range: | pp. 311-347 | ||||||||
DOI: | 10.1007/s11856-015-1274-5 | ||||||||
Status: | Peer Reviewed | ||||||||
Publication Status: | Published | ||||||||
Access rights to Published version: | Restricted or Subscription Access |
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