On subgroups of finite complexity in groups acting on trees.

DOI10.1016/j.jpaa.2004.11.005zbMath1107.20021OpenAlexW1983406180MaRDI QIDQ557055

Mihalis Sykiotis

Publication date: 23 June 2005

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2004.11.005

zbMATH Keywords

subgroups of finite indexnumbers of endsfinitely presented groupsgraphs of groupsgroup actions on treesamalgamated free productsSchreier index formulasubgroups of finite complexitytame subgroups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Groups acting on trees (20E08)

Related Items

Complexity volumes of splittable groups ⋮ Normalisers in limit groups. ⋮ On the intersection of tame subgroups in groups acting on trees ⋮ On the intersection of free subgroups in free products of groups ⋮ A note on free products. ⋮ Finiteness results for subgroups of finite extensions. ⋮ Fixed subgroups of endomorphisms of free products. ⋮ Euler Characteristics on virtually free products ⋮ Hyperbolicity and cubulability are preserved under elementary equivalence ⋮ On subgroups of finite complexity in groups acting on trees. ⋮ On the intersection of free subgroups in free products of groups with no 2-torsion.

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