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- W4288283458 abstract "We introduce various probablistic finiteness conditions for profinite groups related to positive finite generation (PFG). We investigate completed group rings which are PFG as modules, and use this to answer a question of Kionke and the second author on positively finitely related groups. Using the theory of projective covers, we define and characterise a probabilistic version of the $mathrm{FP}_n$ property for profinite groups, called $mathrm{PFP}_n$. Finally, we prove how these conditions are related to previously defined finiteness conditions and each other." @default.
- W4288283458 created "2022-07-28" @default.
- W4288283458 creator A5034690202 @default.
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- W4288283458 date "2019-07-11" @default.
- W4288283458 modified "2023-10-16" @default.
- W4288283458 title "Probabilistic finiteness properties for profinite groups" @default.
- W4288283458 doi "https://doi.org/10.48550/arxiv.1907.05063" @default.
- W4288283458 hasPublicationYear "2019" @default.
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