Computing homology using generalized Gröbner bases

DOI10.1016/j.jsc.2013.01.004zbMath1277.20058OpenAlexW2039091916MaRDI QIDQ386986

Becky Eide Hall

Publication date: 11 December 2013

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jsc.2013.01.004

zbMATH Keywords

group algebrasGröbner basescongruence subgroupsgroup homology\(\text{SL}_3(\mathbb Z)\)

Mathematics Subject Classification ID

Unimodular groups, congruence subgroups (group-theoretic aspects) (20H05) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Software, source code, etc. for problems pertaining to group theory (20-04) Cohomology theory for linear algebraic groups (20G10) Cohomology of arithmetic groups (11F75)

Cites Work

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• On Serre's reciprocity conjecture for 2-dimensional mod \(p\) representations of \(\text{Gal}(\overline{\mathbb Q}/\mathbb Q)\)
• Heeke Eigenforms in the Cohomology of Congruence Subgroups of SL(3, Z)
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