The Cohomology of Extraspecial Groups

DOI10.1112/blms/24.3.209zbMath0795.20038OpenAlexW2010125290MaRDI QIDQ4024845

Carlson, Jon F., David John Benson

Publication date: 16 February 1993

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/blms/24.3.209

zbMATH Keywords

cohomologyspectral sequencesSteenrod operationscentral extensionextraspecial \(p\)-groupsinflation map

Mathematics Subject Classification ID

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

Related Items (23)

On the gauge equivalence of twisted quantum doubles of elementary Abelian and extra-special 2-groups. ⋮ Depth and transfer maps in the cohomology of groups ⋮ The spectral sequence of a split extension and the cohomology of an extraspecial group of order \(p^ 3\) and exponent \(p\) ⋮ On the endomorphism semigroups of extra-special $p$-groups and automorphism orbits ⋮ Chern classes and extraspecial groups ⋮ The group of endotrivial modules in the normal case. ⋮ On the integral cohomology of wreath products ⋮ Cohomology classes of the \(Qd (p)\) groups ⋮ Cohomology classes of \(Qd(3)\) ⋮ A note on Serre's theorem in group cohomology ⋮ The mod p cohomology group of extra-special p-group of order p⁵ and of exponent p² ⋮ Chern classes and the extraspecialp-group of orderp⁵and exponentp ⋮ Surface braid groups, Finite Heisenberg covers and double Kodaira fibrations ⋮ The classification of endo-trivial modules. ⋮ Constructing endotrivial modules. ⋮ Automorphisms of \(p\)-groups given as cyclic-by-elementary Abelian central extensions ⋮ Spherical posets from commuting elements ⋮ Cohomology of uniformly powerful $p$-groups ⋮ Finite \(p\)-groups ⋮ The \(K(n)\)-Euler characteristic of extraspecial \(p\)-groups ⋮ Hochschild-Serre spectral sequences of split extensions and cohomology of some extra-special \(p\)-groups ⋮ On The Homotopy Type of 𝐵𝐺 for Certain Finite 2-Groups 𝐺 ⋮ A counterexample to the Ch(G)-conjecture

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