Golod-Shafarevich groups with property \((T)\) and Kac-Moody groups.

DOI10.1215/00127094-2008-053zbMath1162.20018OpenAlexW2073634794MaRDI QIDQ955157

Mikhail V. Ershov

Publication date: 18 November 2008

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/286773270ba2d5e04ba5c64d207d16236c052c09

zbMATH Keywords

pro-\(p\) groupsGolod-Shafarevich groupsGolod-Shafarevich conditionpro-\(p\) completionspro-\(p\) presentationsT-property

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Groups with a (BN)-pair; buildings (20E42) Limits, profinite groups (20E18)

Related Items

A -group with positive rank gradient ⋮ GOLOD–SHAFAREVICH GROUPS: A SURVEY ⋮ Buildings and Kac-Moody Groups ⋮ Property \((T)\) for noncommutative universal lattices ⋮ Golod-Shafarevich algebras, free subalgebras and Noetherian images. ⋮ Kac-Moody groups and completions ⋮ Realising residually finite groups as subgroups of branch groups ⋮ Cayley graph expanders and groups of finite width. ⋮ Algorithmically finite groups. ⋮ On some pro-\(p\) groups from infinite-dimensional Lie theory ⋮ Discrete approximations for complex Kac-Moody groups ⋮ Bernoulli actions and infinite entropy ⋮ Kazhdan groups whose FC-radical is not virtually abelian ⋮ APPLICATIONS OF p-DEFICIENCY AND p-LARGENESS ⋮ Groups of p-deficiency one ⋮ APPROXIMATING THE FIRST L²-BETTI NUMBER OF RESIDUALLY FINITE GROUPS ⋮ Groups of piecewise projective homeomorphisms ⋮ Large groups, property (τ) and the homology growth of subgroups ⋮ Expander graphs in pure and applied mathematics

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