Structure and finiteness properties of subdirect products of groups

DOI10.1112/plms/pdn039zbMath1167.20016arXiv0708.4331OpenAlexW3104169629MaRDI QIDQ3625053

Charles F. III Miller, Martin R. Bridson

Publication date: 7 May 2009

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0708.4331

zbMATH Keywords

HNN extensionsword problemconjugacy problemfibre productssurface groupsfinitely presented subgroupsfirst homology groupsdirect products of groupssubdirect products of groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Homological methods in group theory (20J05) 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) Hyperbolic groups and nonpositively curved groups (20F67)

Related Items

The strong profinite genus of a finitely presented group can be infinite. ⋮ Property (T) for fiber products ⋮ On the conjugacy problem in the group \(F/N_1\cap N_2\). ⋮ Finiteness properties of direct products of algebraic structures ⋮ On the multiple conjugacy problem in group \(F/N_1 \cap N_2\) ⋮ Right-angled Artin groups and a generalized isomorphism problem for finitely generated subgroups of mapping class groups ⋮ On the number of countable subdirect powers of unary algebras ⋮ Binary subgroups of direct products ⋮ Presentability by products for some classes of groups ⋮ Hereditary conjugacy separability of right-angled Artin groups and its applications. ⋮ On finitary properties for fiber products of free semigroups and free monoids ⋮ Decision problems and profinite completions of groups. ⋮ Residually free groups do not admit a uniform polynomial isoperimetric function ⋮ Finite presentability of normal fibre products. ⋮ Discriminantal bundles, arrangement groups, and subdirect products of free groups ⋮ ON THE NUMBER OF SUBSEMIGROUPS OF DIRECT PRODUCTS INVOLVING THE FREE MONOGENIC SEMIGROUP ⋮ On subdirect products of free pro-\(p\) groups and Demushkin groups of infinite depth. ⋮ On the difficulty of presenting finitely presentable groups. ⋮ Bounded homomorphisms and finitely generated fiber products of lattices ⋮ Subgroup separability in residually free groups. ⋮ Computation of Galois groups of rational polynomials ⋮ Kähler groups and subdirect products of surface groups ⋮ Subgroups of direct products of limit groups. ⋮ Computing equations for residually free groups. ⋮ Generating subdirect products ⋮ Strong Gelfand subgroups of F ≀ Sn ⋮ On subgroups of right angled Artin groups with few generators ⋮ Concise presentations of direct products