Morava 𝐾-theory rings for the dihedral, semidihedral and generalized quaternion groups in Chern classes

DOI10.1090/S0002-9939-06-08424-3zbMath1111.55006OpenAlexW1589279625MaRDI QIDQ3419959

Vladimir V. Vershinin, Malkhaz Bakuradze

Publication date: 1 February 2007

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-06-08424-3

zbMATH Keywords

Chern classtransferformal group law

Mathematics Subject Classification ID

Generalized (extraordinary) homology and cohomology theories in algebraic topology (55N20)

Related Items (10)

Some explicit expressions concerning BP ⋮ Some 2-groups from the view of Hilbert-Poincaré polynomials of \(K(2)^\ast(BG)\) ⋮ MoravaK-theory rings for the groupsG₃₈, …,G₄₁of order 32 ⋮ Transferred characteristic classes and generalized cohomology rings ⋮ Morava \(K\)-theory of groups of order 32 ⋮ \(K(n)\) Chern approximations of some finite groups ⋮ On the Morava K-theory of 𝑀₁₂ ⋮ Morava \(K\)-theory rings for the modular groups in Chern classes ⋮ Induced representations, transferred Chern classes and Morava rings \(K(s)^*(BG)\): some calculations ⋮ Morava \(K\)-theory ring for a quasi-dihedral group in Chern classes

Cites Work

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• Complex \(K\)-theory of \(B\text{SL}_ 3({\mathbb{Z}{}})\)
• The fixed point transfer of fiber-preserving maps
• Morava K-theories of \(p\)-groups with cyclic maximal subgroups and other related groups
• Transfer and complex oriented cohomology rings
• Morava \(K\)-theory rings for the modular groups in Chern classes
• On the Morava K-theory of some finite 2-groups
• Transferred Chern classes in Morava $K$-theory
• Generalized group characters and complex oriented cohomology theories
• Applications of the transfer to stable homotopy theory

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