Applications of some zeta functions in group theory

DOI10.1090/conm/566/11227zbMath1260.20022OpenAlexW4245126083MaRDI QIDQ2918501

Aner Shalev

Publication date: 6 October 2012

Published in: Zeta Functions in Algebra and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/conm/566/11227

zbMATH Keywords

random walkszeta functionsgrowth functionsrandom generationfinite almost simple groupsword mapsrepresentation growthcommutator mapsmaximal subgroup growth

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Maximal subgroups (20E28) Generators, relations, and presentations of groups (20F05) Other Dirichlet series and zeta functions (11M41) Asymptotic properties of groups (20F69) Simple groups: alternating groups and groups of Lie type (20D06) Probabilistic methods in group theory (20P05)

Related Items (8)

A Framework for Computing Zeta Functions of Groups, Algebras, and Modules ⋮ Word equations in simple groups and polynomial equations in simple algebras. ⋮ Mixing for three-term progressions in finite simple groups ⋮ Fibers of word maps and some applications. ⋮ Equations in simple matrix groups: algebra, geometry, arithmetic, dynamics. ⋮ Similarity classes of integral p-adic matrices and representation zeta functions of groups of type A₂ ⋮ Geometry of word equations in simple algebraic groups over special fields ⋮ Commutators in $SL_2$ and Markoff surfaces I

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