Abstract
AbstractWe calculate asymptotic estimates for the conjugacy growth function of finitely generated class 2 nilpotent groups whose derived subgroups are infinite cyclic, including the so-called higher Heisenberg groups. We prove that these asymptotics are stable when passing to commensurable groups, by understanding their twisted conjugacy growth. We also use these estimates to prove that, in certain cases, the conjugacy growth series cannot be a holonomic function.
Publisher
Cambridge University Press (CUP)
Reference33 articles.
1. Certain applications of ergodic theory to the investigation of manifolds of negative curvature;Margulis;Funkcional. Anal. i Prilozen.,1969
2. Formal Conjugacy Growth in Acylindrically Hyperbolic Groups
3. Rational and transcendental growth series for the higher Heisenberg groups
4. Counting in groups: Fine asymptotic geometry;Duchin;Not. AMS,2016
5. The Degree of Polynomial Growth of Finitely Generated Nilpotent Groups
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. Conjugacy growth of free nilpotent groups;International Journal of Algebra and Computation;2024-08-09