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Pontrjagin rings of the Morava \(K\)-theory for finite \(H\)-spaces - MaRDI portal

Pontrjagin rings of the Morava \(K\)-theory for finite \(H\)-spaces (Q2565395)

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Pontrjagin rings of the Morava \(K\)-theory for finite \(H\)-spaces
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    Pontrjagin rings of the Morava \(K\)-theory for finite \(H\)-spaces (English)
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    15 September 1997
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    The author computes the Pontryagin product structure for \(k(2)_*(X)\) and \(k(3)_*(X)\) of finite homotopy associative \(H\)-space \(X\) with \(p\)-torsion by using a result of Ravenel-Wilson. As its application, the author shows that the Pontryagin ring \(k(3)_*(E_8)\) for \(p=3\) is generated by only two elements as a \(k(3)_*\)-algebra.
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    Morava \(K\)-theory
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    \(H\)-space
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    Pontryagin product
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