Relative subgroup growth and subgroup distortion

DOI10.4171/GGD/312zbMath1365.20019arXiv1212.5208OpenAlexW2964168747MaRDI QIDQ2347652

Tara C. Davis, Alexander Yu. Ol'shanskii

Publication date: 5 June 2015

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.5208

zbMATH Keywords

distortionmembership problemlength functionembeddings of groupsrelative growth

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Asymptotic properties of groups (20F69) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10)

Related Items (5)

Equations in virtually abelian groups: Languages and growth ⋮ Computability of Følner sets ⋮ Subnormal subgroups in free groups, their growth and cogrowth ⋮ Rational growth in virtually abelian groups ⋮ Some degree and distance-based invariants of wreath products of graphs

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• SUBGROUP DISTORTIONS IN NILPOTENT GROUPS
• The Extrinsic Geometry of Subgroups and the Generalized Word Problem
• The Degree of Polynomial Growth of Finitely Generated Nilpotent Groups
• Finiteness Conditions for Soluble Groups

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