Conjugacy Growth Series of Some Infinitely Generated Groups

DOI10.1093/IMRN/RNW282zbMath1475.20042arXiv1603.07943OpenAlexW2962988593MaRDI QIDQ4619341

Roland Bacher, Pierre De la Harpe

Publication date: 6 February 2019

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.07943

zbMATH Keywords

partition functionfinitary symmetric grouptransposition graphpermutational wreath productfinitary alternating groupconjugacy growth seriespartition-complete graph

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Infinite automorphism groups (20B27)

Related Items (5)

Asymptotics and congruences for partition functions which arise from finitary permutation groups ⋮ Congruences between word length statistics for the finitary alternating and symmetric groups ⋮ Conjugacy growth series for wreath product finitary symmetric groups ⋮ Formal conjugacy growth in graph products. I ⋮ Conjugacy growth series for finitary wreath products

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