Highly Transitive Jordan Representations of Free Products

DOI10.1112/jlms/s2-46.1.81zbMath0819.20003OpenAlexW2075147589MaRDI QIDQ4024915

Kenneth Keller Hickin

Publication date: 16 February 1993

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/jlms/s2-46.1.81

zbMATH Keywords

Turing degreefinite cyclic groupshighly transitive permutation groupsJordan groupsdecision problems for stabilizer subgroupsfree product of finitely generated groupspointwise stabilizersrepresentations of free products

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Representations of infinite symmetric groups (20C32) Multiply transitive infinite groups (20B22)

Related Items (10)

Automorphisms of algebraic varieties and infinite transitivity ⋮ Highly transitive actions of groups acting on trees ⋮ Highly transitive representations of free products on the natural numbers ⋮ On pairs of finitely generated subgroups in free groups ⋮ Triple transitivity and non‐free actions in dimension one ⋮ Highly transitive actions of free products. ⋮ Transitivity degrees of countable groups and acylindrical hyperbolicity ⋮ Maximal von Neumann subalgebras arising from maximal subgroups ⋮ The ubiquity of free groups ⋮ Homogeneous actions on Urysohn spaces

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