Set covering and Serre's theorem on the cohomology algebra of a \(p\)-group

DOI10.1006/jabr.2001.8850zbMath1004.20030OpenAlexW2048960511MaRDI QIDQ5958855

Ergün Yalçın

Publication date: 4 November 2002

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.2001.8850

zbMATH Keywords

finite \(p\)-groupsset covering problemcohomological lengthselementary Abelian subgroupsrepresenting sets

Mathematics Subject Classification ID

Cohomology of groups (20J06) Finite nilpotent groups, (p)-groups (20D15)

Related Items (2)

On the \(p\)-modular cohomology algebra of a finite \(p\)-group and a theorem of Serre. ⋮ Extraspecial 2-groups and mod-2 cohomology lengths.

Cites Work

• Evens' norm map and Serre's theorem on the cohomology algebra of a \(p\)-group
• The sets closest to ovoids in \(Q^-(2n+1,q)\)
• Sur la dimension cohomologique des groupes profinis
• The mod 2 cohomology rings of extra-special 2-groups and the spinor groups
• The varieties of the mod p cohomology rings of extra special p-groups for an odd prime p
• The Number of Pairwise Non-Commuting Elements and the Index of the Centre in a Finite Group
• Serre's Theorem on the Cohomology Algebra of a p -Group
• On commuting and noncommuting complexes
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