The conjugacy growth of the soluble Baumslag-Solitar groups Article Swipe
Related Concepts
Conjugacy class
Mathematics
Psychology
Pure mathematics
Laura Ciobanu
,
Alex Evetts
,
Meng-Che Ho
·
YOU?
·
· 2019
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.1908.05321
· OA: W2967145887
YOU?
·
· 2019
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.1908.05321
· OA: W2967145887
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.
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