Chern classes and extraspecial groups

Details Chern classes and extraspecial groups Chern classes and extraspecial groups

2007-11-30

arxiv.org/abs/0711.5013v1

Manuscripta Math. 88 (1995), 73-84

Mathematics

Group Theory

Scientific paper

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.

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