Chern classes for metacyclic groups
Copyright policy )Chern classes for metacyclic groups
By means of number theory arguments it is shown that the subring \(H^{\text{even}} (G,\mathbb{Z})\) of even degree classes of the integral cohomology ring \(H^*(G,\mathbb{Z})\) of a metacyclic group \(G\) is generated by Chern classes of suitable representations.
Frobenius induction, Burnside and representation rings, Ordinary representations and characters, Chern classes, Finite solvable groups, theory of formations, Schunck classes, Fitting classes, \(\pi\)-length, ranks, Cohomology of groups, integral cohomology ring, metacyclic group
Frobenius induction, Burnside and representation rings, Ordinary representations and characters, Chern classes, Finite solvable groups, theory of formations, Schunck classes, Fitting classes, \(\pi\)-length, ranks, Cohomology of groups, integral cohomology ring, metacyclic group
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