Morava \(K\)-theory of groups of order 32

DOI10.2140/agt.2011.11.503zbMath1208.55004OpenAlexW2093688274MaRDI QIDQ625341

Björn Schuster

Publication date: 16 February 2011

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/agt.2011.11.503

zbMATH Keywords

Morava \(K\)-theorySerre spectral sequence

Mathematics Subject Classification ID

Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Generalized (extraordinary) homology and cohomology theories in algebraic topology (55N20) Homology and cohomology of (H)-spaces (57T25)

Related Items (7)

Polynomial behavior of the Honda formal group law ⋮ Some 2-groups from the view of Hilbert-Poincaré polynomials of \(K(2)^\ast(BG)\) ⋮ MoravaK-theory rings for the groupsG₃₈, …,G₄₁of order 32 ⋮ On the Morava K-theory of 𝑀₁₂ ⋮ Induced representations, transferred Chern classes and Morava rings \(K(s)^*(BG)\): some calculations ⋮ Transfer ideals and torsion in the Morava \(E\)-theory of abelian groups ⋮ Chromatic (co)homology of finite general linear groups

Cites Work

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• Cohomology for groups of \(\text{rank}_ pG=2\) and Brown-Peterson cohomology
• Morava \(K\)-theory of classifying spaces: Some calculations
• Note on \(BP\)-theory for extensions of cyclic groups by elementary abelian \(p\)-groups
• Odd-degree elements in the Morava \(K(n)\) cohomology of finite groups
• Morava 𝐾-theory rings for the dihedral, semidihedral and generalized quaternion groups in Chern classes
• Equivariant BP-Cohomology for Finite Groups
• The Morava K-theories of wreath products
• On the Morava K-theory of some finite 2-groups
• Morava 𝐾-theory of extraspecial 2-groups
• Generalized group characters and complex oriented cohomology theories

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