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- W2968983596 abstract "Let $G$ be a finite group and $A(G)$ its Burnside ring. For $H subset G$ let $mathbb{Z}_H$ denote the $A(G)$-module corresponding to the mark homomorphism associated to $H$. When the order of $G$ is square-free we give a complete description of the $A(G)$-modules $textrm{Ext}^l_{A(G)}(mathbb{Z}_H, mathbb{Z}_J)$ and $textrm{Tor}^{A(G)}_l(mathbb{Z}_H, mathbb{Z}_J)$ for any $H, J subset G$ and $l geq 0$. We show that if the order of $G$ is not square-free then there exist $H, J subset G$ such that $textrm{Ext}^l_{A(G)}(mathbb{Z}_H, mathbb{Z}_J)$ and $textrm{Tor}^{A(G)}_l(mathbb{Z}_H, mathbb{Z}_J)$ have unbounded rank as finite groups." @default.
- W2968983596 created "2019-08-22" @default.
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- W2968983596 date "2019-08-16" @default.
- W2968983596 modified "2023-09-27" @default.
- W2968983596 title "Cohomology of Burnside Rings" @default.
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