Stable cohomology of alternating groups

2011/08/13 by Fedor Bogomolov, Bogomolov, Fedor, Christian Böhning +1
Mathematics · #14E08 #14F43 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #math.AG #msc:14E08 #msc:14F43

paper · pdf · doi:10.48550/arxiv.1108.2814

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

openalex publication_date 2011/08/13 · arxiv created 2012/04/20 · arxiv updated 2012/04/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

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