Chern classes and extraspecial groups
Copyright policy )Chern classes and extraspecial groups
The mod-p cohomology ring of the extraspecial p-group of exponent p is studied for odd p. We investigate the subquotient ch(G) generated by Chern classes modulo the nilradical. The subring of ch(G) generated by Chern classes of one-dimensional representations was studied by Tezuka and Yagita. The subring generated by the Chern classes of the faithful irreducible representations is a polynomial algebra. We study the interplay between these two families of generators, and obtain some relations between them.
- University of Southampton United Kingdom
- Max Planck Society Germany
- DigiZeitschriften Germany
Chern classes, Group Theory (math.GR), faithful irreducible representations, 20J06, 530, Article, 510, 510.mathematics, Characteristic classes and numbers in differential topology, Finite nilpotent groups, \(p\)-groups, FOS: Mathematics, Algebraic Topology (math.AT), Dickson invariants, Mathematics - Algebraic Topology, Cohomology of groups, mod-\(p\) cohomology algebras, Mathematics - Group Theory, extraspecial \(p\)-groups, Krull dimension
Chern classes, Group Theory (math.GR), faithful irreducible representations, 20J06, 530, Article, 510, 510.mathematics, Characteristic classes and numbers in differential topology, Finite nilpotent groups, \(p\)-groups, FOS: Mathematics, Algebraic Topology (math.AT), Dickson invariants, Mathematics - Algebraic Topology, Cohomology of groups, mod-\(p\) cohomology algebras, Mathematics - Group Theory, extraspecial \(p\)-groups, Krull dimension
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