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Mod 3 Chern classes and generators. (English) Zbl 1384.55013

Summary: We show the non-triviality of the mod 3 Chern class of degree 324 of the adjoint representation of the exceptional Lie group \(E_{8}\).

MSC:

55R40 Homology of classifying spaces and characteristic classes in algebraic topology
55R35 Classifying spaces of groups and \(H\)-spaces in algebraic topology
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