The first cohomology of a group with permutation module coefficients

DOI10.1007/BF01226445zbMath0377.20044OpenAlexW2125504141MaRDI QIDQ1246611

C. H. Houghton

Publication date: 1978

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01226445

Mathematics Subject Classification ID

Homological methods in group theory (20J05) Special aspects of infinite or finite groups (20F99) Local properties of groups (20E25) Torsion-free groups, finite rank (20K15)

Related Items (20)

Word problems and a homological finiteness condition for monoids ⋮ On the isolated points in the space of groups. ⋮ Trees, valuations, and the Bieri-Neumann-Strebel invariant ⋮ Twisted conjugacy in Houghton's groups ⋮ Invariable generation and the Houghton groups ⋮ Asymptotically rigid mapping class groups. I: Finiteness properties of braided Thompson's and Houghton's groups ⋮ Centralizers in Houghton’s Groups ⋮ Groups of piecewise isometric permutations of lattice points, or Finitary rearrangements of tessellations ⋮ The BNSR-invariants of the Houghton groups, concluded ⋮ Groups with Many Finitary Cohomology Functors ⋮ Median quasimorphisms on CAT(0) cube complexes and their cup products ⋮ Transitivity degrees of countable groups and acylindrical hyperbolicity ⋮ Finiteness properties of groups ⋮ The higher geometric invariants for groups with sufficient commutativity ⋮ A note on the R_∞ property for groups FAlt(X)⩽G⩽Sym(X) ⋮ Amenable groups without finitely presented amenable covers ⋮ Isoperimetric profiles and random walks on some groups defined by piecewise actions ⋮ Maximal subgroups and von Neumann subalgebras with the Haagerup property ⋮ End invariants of polycyclic by finite group actions ⋮ On the finite index subgroups of Houghton's groups

Cites Work

• Unnamed Item
• Group pairs associated with a class of coverings
• Ends of pairs of groups
• Transitive groups with fixed-point-free permutations. II
• Die erste Cohomologiegruppe von Überlagerungen und Homotopie- Eigenschaften dreidimensionaler Mannigfaltigkeiten
• Ends of locally compact groups and their coset spaces
• Ends of Groups and the Associated First Cohomology Groups
• Groups of cohomological dimension one

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