Chern classes and extraspecial groups
Group Theory
2015-02-23 v1 Algebraic Topology
Abstract
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.
Keywords
Cite
@article{arxiv.0711.5013,
title = {Chern classes and extraspecial groups},
author = {David J Green and Ian J Leary},
journal= {arXiv preprint arXiv:0711.5013},
year = {2015}
}