Depth and transfer maps in the cohomology of groups

DOI10.1007/BF02571916zbMath0837.20062OpenAlexW1985714047MaRDI QIDQ1894826

Carlson, Jon F.

Publication date: 21 April 1996

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174741

zbMATH Keywords

finite groupsdepth\(p\)-rankelementary Abelian subgroupscohomology algebra

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Cohomology of groups (20J06) Homological methods in group theory (20J05)

Related Items (16)

Free actions of $p$-groups on products of lens spaces ⋮ The topological nilpotence degree of a Noetherian unstable algebra ⋮ Depth and the cohomology of wreath products ⋮ A family of finitep‐groups satisfying Carlson's depth conjecture ⋮ The computation of the cohomology rings of all groups of order 128. ⋮ Essential cohomology and extraspecial $p$-groups ⋮ Depth and detection for Noetherian unstable algebras ⋮ Cohomological detection and regular elements in group cohomology ⋮ On the cohomology of Galois groups determined by Witt rings ⋮ Primitives and central detection numbers in group cohomology. ⋮ Nilpotence in group cohomology ⋮ Field theory and the cohomology of some Galois groups ⋮ On essential cohomology of powerful p -groups ⋮ Essential cohomology for elementary Abelian \(p\)-groups. ⋮ The cohomology of the Lyons group and double covers of alternating groups ⋮ On Carlson's depth conjecture

Cites Work

• The image of the transfer map
• The associated primes of HG*(X)
• The mod p cohomology rings of the nonabelian split metacyclic p-groups
• Depth and equivariant cohomology
• Products in negative cohomology
• Localizations of unstable \(A\)-modules and equivariant mod \(p\) cohomology
• Varieties and transfers
• The spectrum of an equivariant cohomology ring. I. II
• The Cohomology of Extraspecial Groups
• The mod-p cohomology rings of some p-groups
• SOME REMARKS ON CENTRAL ELEMENTARY ABELIAN P-SUBGROUPS AND COHOMOLOGY OF CLASSIFYING SPACES
• Diagrammatic methods for modular representations and cohomology
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