ON GROUPS WHICH CONTAIN NO HNN-EXTENSIONS

DOI10.1142/S0218196707004311zbMath1156.20023MaRDI QIDQ3502832

Alessio Russo, Giovanni Vincenzi, Derek J. S. Robinson

Publication date: 20 May 2008

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

zbMATH Keywords

finitely generated groupslocally graded groupsHNN-extensionspronormal subgroupsfree subsemigroupsvirtually polycyclic groupsextended residually finite groupsERF-groupsFIC-groupsfinite intersections of conjugatesFS-free groupsHNN-free groupslinear groups over integral domains

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Generalizations of solvable and nilpotent groups (20F19) Chains and lattices of subgroups, subnormal subgroups (20E15) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Residual properties and generalizations; residually finite groups (20E26) Local properties of groups (20E25)

Related Items (14)

Local characterizations of infinite groups whose ascendant subgroups are permutable ⋮ On the Wielandt subgroup of generalized FC-groups ⋮ Unnamed Item ⋮ Unnamed Item ⋮ The nilpotent genus of finitely generated residually nilpotent groups ⋮ Strictly ascending HNN extensions in soluble groups. ⋮ Some characterisations of groups in which normality is a transitive relation by means of subgroup embedding properties ⋮ A characterization of soluble groups in which normality is a transitive relation ⋮ ON GENERALISED FC-GROUPS IN WHICH NORMALITY IS A TRANSITIVE RELATION ⋮ ON THE PRONORM OF A GROUP ⋮ On groups whose subgroups are closed in the profinite topology. ⋮ The influence of arrangement of subgroups on the group structure ⋮ Groups in which normality is a weakly transitive relation ⋮ Groups with pronormal deviation

Cites Work

• Groups in which all subgroups are pronormal.
• Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
• On finitely generated groups with many profinite-closed subgroups
• Some Sylow subgroups
• On nil-algebras and finitely approximable 𝑝-groups

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