The Morava $K$-theories of some classifying spaces
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- by Nicholas J. Kuhn PDF
- Trans. Amer. Math. Soc. 304 (1987), 193-205 Request permission
Abstract:
Let $P$ be a finite abelian $p$-group with classifying space $BP$. We compute, in representation theoretic terms, the Morava $K$-theories of the stable wedge summands of $BP$. In particular, we obtain a simple, and purely group theoretic, description of the rank of $K{(s)^{\ast }}(BG)$ for any finite group $G$ with an abelian $p$-Sylow subgroup. A minimal amount of topology quickly reduces the problem to an algebraic one of analyzing truncated polynomial algebras as modular representations of the semigroup ${M_n}({\mathbf {Z}} / p)$.References
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Additional Information
- © Copyright 1987 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 304 (1987), 193-205
- MSC: Primary 55N22; Secondary 19L99
- DOI: https://doi.org/10.1090/S0002-9947-1987-0906812-8
- MathSciNet review: 906812