Conjugacy growth in the higher Heisenberg groups
نویسندگان
چکیده
Abstract We calculate asymptotic estimates for the conjugacy growth function of finitely generated class 2 nilpotent groups whose derived subgroups are infinite cyclic, including so-called higher Heisenberg groups. prove that these asymptotics stable when passing to commensurable groups, by understanding their twisted growth. also use that, in certain cases, series cannot be a holonomic function.
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ژورنال
عنوان ژورنال: Glasgow Mathematical Journal
سال: 2023
ISSN: ['0017-0895', '1469-509X']
DOI: https://doi.org/10.1017/s0017089522000428