Cohomology for groups of \(\text{rank}_ pG=2\) and Brown-Peterson cohomology

DOI10.2969/jmsj/04540627zbMath0809.20042OpenAlexW2030039651MaRDI QIDQ1322331

Nobuaki Yagita

Publication date: 2 February 1995

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

Full work available at URL: https://doi.org/10.2969/jmsj/04540627

zbMATH Keywords

classifying spacefiltrationsMorava \(K\)-theoryfinite grouptransfermetacyclic group\(p\)-groupcorestrictionEuler classescomplex representation ringChern classes of complex representationsChern subring

Mathematics Subject Classification ID

Cohomology of groups (20J06) Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Generalized (extraordinary) homology and cohomology theories in algebraic topology (55N20) Finite nilpotent groups, (p)-groups (20D15) Homology of classifying spaces and characteristic classes in algebraic topology (55R40) Topological (K)-theory (55N15)

Related Items (5)

Transfers of Chern classes in BP-cohomology and Chow rings ⋮ Some 2-groups from the view of Hilbert-Poincaré polynomials of \(K(2)^\ast(BG)\) ⋮ MoravaK-theory rings for the groupsG₃₈, …,G₄₁of order 32 ⋮ The splitting of cohomology of \(p\)-groups with rank 2 ⋮ Morava \(K\)-theory of groups of order 32

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