Stable splitting and cohomology of p-local finite groups over the extraspecial p-group of order p^3 and exponent p

Let p be an odd prime. Let G be a p-local finite group over the extraspecial p-group p_+^{1+2}. In this paper we study the cohomology and the stable splitting of their p-complete classifying space BG.Comment: This is the version published by Geometry & Topology Monographs on 14 November 200

Chow ring and BP-theory of the extraspecial 2-group of order 32

We write down the mod 2 Chow ring of the classifying space of the central product of two dihedral groups of order 8. This Chow ring has nilpotent elements.Comment: 10 page

Note on the counterexamples for the integral Tate conjecture over finite fields

In this note we discuss some examples of non torsion and non algebraic cohomology classes for varieties over finite fields. The approach follows the construction of Atiyah-Hirzebruch and Totaro