Abstract
We 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.
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.
| Original language | English |
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| Journal | Glasgow Mathematical Journal |
| Publication status | Accepted/In press - 9 Jul 2022 |