Authors: David J Green 
         Ian J Leary 
Title  : Chern classes and extraspecial groups
Status : Manuscripta Math. 88 (1995), 73-84.

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.

1991 Mathematics Subject Classification: 20J06