ON SEPARABILITY PROPERTIES OF GROUPS

DOI10.1142/S0218196795000288zbMath0838.20026MaRDI QIDQ4863968

Rita Gitik, Eliyahu Rips

Publication date: 2 June 1996

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

zbMATH Keywords

free products with amalgamationfree productsLERF groupslocally extended residually finite groupsfree groupssurface groupsresidual finitenessfinite index subgroupsfinitely generated intersection propertydouble coset separable groupsfinitely generated malnormal subgroups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Geometric group theory (20F65) Free nonabelian groups (20E05) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Residual properties and generalizations; residually finite groups (20E26)

Related Items (19)

COMBINATORIAL GROUP THEORY, INVERSE MONOIDS, AUTOMATA, AND GLOBAL SEMIGROUP THEORY ⋮ Graphs and separability properties of groups ⋮ On quasiconvex subgroups of negatively curved groups ⋮ Residual finiteness of infinite amalgamated products of cyclic groups. ⋮ Conjugacy separability of 1-acylindrical graphs of free groups. ⋮ On double coset separability and the Wilson–Zalesskii property ⋮ Finite state automata: A geometric approach ⋮ Finite index subgroups of graph products. ⋮ On a double of a free group ⋮ Widths of Subgroups ⋮ Dynamics of implicit operations and tameness of pseudovarieties of groups ⋮ Every decidable pseudovariety of abelian groups is completely tame ⋮ Inverse automata and profinite topologies on a free group ⋮ The geometry of profinite graphs with applications to free groups and finite monoids ⋮ The pseudovariety of all nilpotent groups is tame ⋮ Ping-pong on negatively curved groups ⋮ On the profinite topology on negatively curved groups ⋮ Weak Separation Problem for Tree Languages ⋮ On the Kurosh theorem and separability properties

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