HOMOLOGICAL FINITENESS PROPERTIES OF WREATH PRODUCTS

DOI10.1093/qmath/hau035zbMath1371.20049arXiv1406.5261OpenAlexW1998833490MaRDI QIDQ5257977

Dessislava H. Kochloukova, Laurent Bartholdi, Yves De Cornulier

Publication date: 25 June 2015

Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.5261

zbMATH Keywords

wreath productsabelianizationhomological finitenessBieri-Neumann-Strebel-Renz invariant

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Homological methods in group theory (20J05) Extensions, wreath products, and other compositions of groups (20E22) Residual properties and generalizations; residually finite groups (20E26)

Related Items (8)

On the Bieri-Neumann-Strebel-Renz \(\Sigma\)-invariants of the Bestvina-Brady groups ⋮ Graph-wreath products and finiteness conditions ⋮ Twisted Brin-Thompson groups ⋮ Haagerup property for wreath products constructed with Thompson's groups ⋮ Forest-skein groups II: Construction from homogeneously presented monoids ⋮ Groups of piecewise isometric permutations of lattice points, or Finitary rearrangements of tessellations ⋮ On the \(\sigma\)-invariants of wreath products ⋮ Finiteness properties of totally disconnected locally compact groups

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