Gröbner bases and the computation of group cohomology.

DOI10.1007/b93836zbMath1050.20036OpenAlexW4214647664MaRDI QIDQ1415058

David J. Green

Publication date: 3 December 2003

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/b93836

zbMATH Keywords

algorithmsGröbner basescohomology ringsgroup cohomologyresolutions

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Cohomology of groups (20J06) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Syzygies, resolutions, complexes in associative algebras (16E05) Software, source code, etc. for problems pertaining to group theory (20-04) Computational aspects of associative rings (general theory) (16Z05) Research exposition (monographs, survey articles) pertaining to group theory (20-02)

Related Items (9)

The essential ideal in group cohomology does not square to zero. ⋮ Letterplace ideals and non-commutative Gröbner bases. ⋮ Computing group cohomology rings from the Lyndon-Hochschild-Serre spectral sequence. ⋮ The computation of the cohomology rings of all groups of order 128. ⋮ Computational homology of \(n\)-types ⋮ A non-commutative \(F_5\) algorithm with an application to the computation of Loewy layers. ⋮ Computing minimal free resolutions of right modules over noncommutative algebras ⋮ Coclass and cohomology. ⋮ Gröbner–Shirshov bases and their calculation

Uses Software

• MeatAxe

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