Probabilistic finiteness properties for profinite groups
نویسندگان
چکیده
We introduce various probabilistic finiteness conditions for profinite groups related to positive finite generation (PFG). investigate completed group rings which are PFG as modules, and use this answer [17, Question 1.2] on positively finitely groups. Using the theory of projective covers, we define characterise a version FPn property groups, called PFPn. Finally, prove how these previously defined each other.
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2021
ISSN: ['1090-266X', '0021-8693']
DOI: https://doi.org/10.1016/j.jalgebra.2021.01.026