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- W2023164229 abstract "We show that a group G is locally finite if and only if Tor1ZG(M,I)=0 for all ZG-modules M and I, with M Z-free and I injective. To that end, we relate the finiteness of a finitely generated group G to the finiteness of the injective dimension of induced modules. We also examine the relation between the finiteness of a group G and the finiteness of the projective dimension of coinduced modules." @default.
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- W2023164229 date "2012-02-01" @default.
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- W2023164229 title "A homological characterization of locally finite groups" @default.
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- W2023164229 doi "https://doi.org/10.1016/j.jalgebra.2011.11.019" @default.
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