Nilpotency degree of cohomology rings in characteristic $p$

DOI10.1090/S0002-9939-02-06550-4zbMath1015.20038OpenAlexW4235508200MaRDI QIDQ4779839

Pham Anh Minh

Publication date: 28 October 2002

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-02-06550-4

zbMATH Keywords

finite \(p\)-groupscohomology ringsBockstein homomorphismsnilpotency degreesHochschild-Serre spectral sequences

Mathematics Subject Classification ID

Cohomology of groups (20J06) Finite nilpotent groups, (p)-groups (20D15) Homology of classifying spaces and characteristic classes in algebraic topology (55R40)

Related Items

Any nilpotence degree occurs in mod-\(p\) cohomology rings of \(p\)-groups.

Cites Work

• Unnamed Item
• On a special class of \(p\)-groups
• Nilpotency of a kernel of the Quillen map
• The Adams conjecture
• Terminal p-groups
• Nilpotency degree of cohomology rings in characteristic 3
• Essential mod-p Cohomology Classes of p -Groups: An Upper Bound For Nilpotency Degrees
• Evens norm and restriction maps in mod-p cohomology of p-groups
• Nilpotency Degree of Cohomology Rings in Characteristic Two