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A partial $A_infty$-structure on the cohomology of $C_ntimes C_m$

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 نشر من قبل Mikael Vejdemo-Johansson
 تاريخ النشر 2010
  مجال البحث
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Suppose k is a field of characteristic 2, and $n,mgeq 4$ powers of 2. Then the $A_infty$-structure of the group cohomology algebras $H^*(C_n,k)$ and $(H^*(C_m,k)$ are well known. We give results characterizing an $A_infty$-structure on $H^*(C_ntimes C_m,k)$ including limits on non-vanishing low-arity operations and an infinite family of non-vanishing higher operations.



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