Subgroup properties of fully residually free groups

DOI10.1090/S0002-9947-01-02840-9zbMath0983.20022MaRDI QIDQ2750956

Ilya Kapovich

Publication date: 21 October 2001

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

subgroups of finite indexfinitely generated subgroupsfully residually free groupsword-hyperbolic groupsexponential groupstensor completionsHowson property\(\omega\)-free groupssolvable membership problemuniversally free groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Free nonabelian groups (20E05) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Residual properties and generalizations; residually finite groups (20E26)

Related Items (9)

Normalisers in limit groups. ⋮ Quasiconvexity and relatively hyperbolic groups that split. ⋮ Computable paradoxical decompositions ⋮ Normal subgroups in limit groups of prime index ⋮ On Some Finiteness Properties in Infinite Groups ⋮ Group cocycles and the ring of affiliated operators ⋮ Combination of convergence groups. ⋮ Subgroup properties of pro-\(p\) extensions of centralizers. ⋮ On decidability of amenability in computable groups

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