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The conjugacy growth of the soluble Baumslag-Solitar groups
- Publication Year :
- 2019
-
Abstract
- In this paper we give asymptotics for the conjugacy growth of the soluble Baumslag-Solitar groups $BS(1,k)$, $k\geq 2$, with respect to the standard generating set, by providing a complete description of geodesic conjugacy representatives. We show that the conjugacy growth series for these groups are transcendental, and give formulas for the series. As a result of our computation we also establish that in each $BS(1,k)$ the conjugacy and standard growth rates are equal.<br />Comment: 18 pages
- Subjects :
- Mathematics - Group Theory
20F65, 20E45, 05E15
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1908.05321
- Document Type :
- Working Paper