The spectral sequence of a split extension and the cohomology of an extraspecial group of order \(p^ 3\) and exponent \(p\)

DOI10.1016/0022-4049(95)00020-8zbMath0861.20050OpenAlexW1998891031MaRDI QIDQ1910758

Stephen F. Siegel

Publication date: 16 April 1997

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(95)00020-8

zbMATH Keywords

spectral sequencesextraspecial groupsexplicit formuladifferentialsextensions of finite groupsmod \(p\) cohomology of finite groups

Mathematics Subject Classification ID

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

Related Items (5)

On the cohomology of pro-fusion systems ⋮ Computing a spectral sequence of finite Heisenberg groups of prime power order ⋮ Spectral sequences via examples ⋮ On the group cohomology of the semi-direct product \(\mathbb Z^n\rtimes_\rho\mathbb Z/m\) and a conjecture of Adem-Ge-Pan-Petrosyan. ⋮ Hochschild-Serre spectral sequences of split extensions and cohomology of some extra-special \(p\)-groups

Cites Work

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• Modular invariant theory and cohomology algebras of extra-special p- groups
• The mod 2 cohomology rings of extra-special 2-groups and the spinor groups
• The integral cohomology rings of some p-groups
• The Cohomology of Extraspecial Groups
• The mod-p cohomology rings of some p-groups
• The Cohomology of Group Extensions
• Characteristic Classes for Modules Over Groups. I
• The Integral Cohomology Rings of Groups of Order p 3
• Cohomology of Group Extensions

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