Stable cohomology of alternating groups

Abstract

In this article we determine the stable cohomology groups H^i_s (A_n, Z/p) of the alternating groups A_n for all integers n and i, and all primes p.

21 pages; v3: supplied a new argument in section 2 for the fact that the stable cohomology of the alternating groups is detected by elementary abelian subgroups