A partial A_∞-structure on the cohomology of C_n× C_m

2007/07/31 by Mikael Vejdemo-Johansson · 1 citation
Mathematics · #math.KT #math.AT #math.RT #msc:55P43 #msc:16E40

paper · pdf

published as Journal of Homotopy and Related Structures, 3:1 (2008) pp. 1-11 · 11 pages, updated to official JHRS version.

arxiv created 2010/05/13 · arxiv updated 2010/05/14

Abstract

Suppose k is a field of characteristic 2, and n,m≥ 4 powers of 2. Then the A_∞-structure of the group cohomology algebras H^*(C_n,k) and (H^*(C_m,k) are well known. We give results characterizing an A_∞-structure on H^*(C_n× C_m,k) including limits on non-vanishing low-arity operations and an infinite family of non-vanishing higher operations.

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• A partial A_∞-structure on the cohomology of C_n× C_m