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- W3100485872 abstract "Let $G$ be a group. For any $mathbb{Z} G$--module $M$ and any integer $d>0$, we define a function $FV_{M}^{d+1}colon mathbb{N} to mathbb{N} cup {infty}$ generalizing the notion of $(d+1)$--dimensional filling function of a group. We prove that this function takes only finite values if $M$ is of type $FP_{d+1}$ and $d>0$, and remark that the asymptotic growth class of this function is an invariant of $M$. In the particular case that $G$ is a group of type $FP_{d+1}$, our main result implies that its $(d+1)$-dimensional homological filling function takes only finite values, addressing a question from [12]." @default.
- W3100485872 created "2020-11-23" @default.
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- W3100485872 date "2018-01-15" @default.
- W3100485872 modified "2023-10-16" @default.
- W3100485872 title "Finiteness of homological filling functions" @default.
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- W3100485872 doi "https://doi.org/10.2140/involve.2018.11.569" @default.
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