Centraliser dimension of partially commutative groups.

DOI10.1007/s10711-006-9046-3zbMath1172.20303arXivmath/0506072OpenAlexW2168086402MaRDI QIDQ2503115

Ilya V. Kazachkov, Vladimir N. Remeslennikov, Andrew J. Duncan

Publication date: 14 September 2006

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0506072

zbMATH Keywords

partially commutative groupsright angled Artin groupsgraph groupslattices of centraliserscentraliser dimension

Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) Braid groups; Artin groups (20F36) Chains and lattices of subgroups, subnormal subgroups (20E15) Decidability of theories and sets of sentences (03B25) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Quasivarieties and varieties of groups (20E10)

Related Items (11)

Universal equivalence of some countably generated partially commutative structures ⋮ Conjugacy in relatively extra-large Artin groups ⋮ Quasivarieties generated by partially commutative groups. ⋮ Centralizer dimensions and universal theories for partially commutative metabelian groups ⋮ CENTRALISER DIMENSION OF FREE PARTIALLY COMMUTATIVE NILPOTENT GROUPS OF CLASS 2 ⋮ One-relator quotients of right-angled Artin groups ⋮ Partially commutative metabelian groups: centralizers and elementary equivalence. ⋮ AUTOMORPHISMS OF PARTIALLY COMMUTATIVE GROUPS II: COMBINATORIAL SUBGROUPS ⋮ Parabolic and quasiparabolic subgroups of free partially commutative groups. ⋮ Automorphisms of partially commutative groups. I: Linear subgroups. ⋮ Centralizer dimensions of partially commutative metabelian groups

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