Revistes Catalanes amb Accés Obert (RACO)

The multiplicative structure of $K(n)^*(BA_4)$

M. Brunetti

Resum


Let $K(n)^*(-)$ be a Morava $K$-theory at the prime $2$. Invariant theory is used to identify $K(n)^*(BA_4)$ as a summand of $K(n)^*(B\Bbb Z/2\times B\Bbb Z/2)$. Similarities with $H^*(B A_4;\Bbb Z/2)$ are also discussed.

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