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Conjugacy growth in the higher Heisenberg groups by Evetts, Alex is a scholarly article available to read on EtoBox.

What is Conjugacy growth in the higher Heisenberg groups about?

We calculate asymptotic estimates for the conjugacy growth function of finitely generated class 2 nilpotent groups whose derived subgroup is 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.

Author

Evetts, Alex

Published

2021

Language

EN