ON SMALL CANCELLATION k-GENERATED GROUPS WITH (k-1)-GENERATED SUBGROUPS ALL FREE

DOI10.1142/S0218196701000656zbMath1024.20032OpenAlexW2135746084MaRDI QIDQ4786294

Inna Bumagin

Publication date: 15 December 2002

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218196701000656

zbMATH Keywords

finitely generated groupsfree subgroupssmall cancellation groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Cancellation theory of groups; application of van Kampen diagrams (20F06)

Related Items (3)

Locally free subgroups of one-relator groups ⋮ FREELY INDECOMPOSABLE GROUPS ACTING ON HYPERBOLIC SPACES ⋮ Genericity, the Arzhantseva-Ol'shanskii method and the isomorphism problem for one-relator groups.

Cites Work

• Topology of finite graphs
• Intersections of finitely generated subgroups of free groups and resolutions of graphs
• Rational subgroups of biautomatic groups
• A finitely generated simple group with free 2-generated subgroups
• Generalized small cancellation theory and applications. I. The word problem
• Subgroups of small Cancellation Groups
• Generic properties of finitely presented groups and howson's theorem
• Unsolvable Problems About Small Cancellation and Word Hyperbolic Groups
• Amalgamated Products and the Howson Property

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