The essential ideal in group cohomology does not square to zero.
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Publication:1877759
DOI10.1016/j.jpaa.2004.03.007zbMath1069.20044arXivmath/0302336OpenAlexW2012641469MaRDI QIDQ1877759
Publication date: 19 August 2004
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0302336
Sylow 2-subgroupsfinite \(p\)-groupscohomology ringscohomology classesunitary groupsessential cohomology
Cohomology of groups (20J06) Finite transformation groups (57S17) Finite nilpotent groups, (p)-groups (20D15)
Related Items (3)
The Nilpotent filtration and the action of automorphisms on the cohomology of finite p-groups ⋮ Primitives and central detection numbers in group cohomology. ⋮ On essential cohomology of powerful p -groups
Cites Work
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- Transformation groups
- The restriction map in cohomology of finite 2-groups
- On nilpotent ideals in the cohomology ring of a finite group.
- Gröbner bases and the computation of group cohomology.
- Mod-2 cohomology of the group U3(4)
- Projective Resolutions and Poincare Duality Complexes
- Essential mod-p Cohomology Classes of p -Groups: An Upper Bound For Nilpotency Degrees
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