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- W2887215926 abstract "For a fixed prime $p$, we consider a filtration of the commuting complex of elements of order $p$ in the symmetric group $mathfrak{S}_n$. The filtration is obtained by imposing successively relaxed bounds on the number of disjoint $p$-cycles in the cycle decomposition of the elements. We show that each term in the filtration becomes highly acyclic as $n$ increases. We use $mathbf{FI}$-modules in the proof." @default.
- W2887215926 created "2018-08-22" @default.
- W2887215926 creator A5057857380 @default.
- W2887215926 date "2018-08-07" @default.
- W2887215926 modified "2023-10-18" @default.
- W2887215926 title "The commuting complex of the symmetric group with bounded number of $p$-cycles." @default.
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