arXiv:1502.05445 Abstract | arXiv Analytics

arXiv:1502.05445 [math.GR]Abstract References Reviews Resources

Effective conjugacy separability of finitely generated nilpotent groups

Published 2015-02-18Version 1

We make effective conjugacy separability for finitely generated nilpotent groups using work of Blackburn and Mal'tsev. More precisely, we give polynomial upper and lower bounds for the asymptotic behavior of an associated complexity function introduced by Lawton, Louder, and McReynolds that measures how large the needed quotients are in separating pairs of conjugacy classes of bounded word length.

Comments: 26 pages

Categories: math.GR, math.GT

Subjects: 20E26, 20E45, 20F10, 20F18, 20F69

Keywords: finitely generated nilpotent groups, effective conjugacy separability, lower bounds, polynomial upper, asymptotic behavior

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