Modular representations of profinite groups
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TL;DR: In this paper, the concept of relative projectivity for finite modules over the completed group algebra of a profinite group is defined and a characterization of finitely generated relatively projective modules analogous to the finite case with additions of interest to the profinite theory is presented.
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About: This article is published in Journal of Pure and Applied Algebra. The article was published on 01 May 2011. and is currently open access. The article focuses on the topics: Profinite group & Modular representation theory.
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Infinitely generated pseudocompact modules for finite groups and Weiss' Theorem
TL;DR: In this article, the existence of permutation cover of a pseudocompact module is proved as a special case of a more general result of A. Weiss' Theorem.
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Green correspondence for virtually pro-p groups
TL;DR: In this article, an analogue of the Green Correspondence for finitely generated modules over the completed group algebra k is presented, where p is a prime, k a finite field of characteristic p, and G a virtually pro-p group.
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Brauer theory for profinite groups
John MacQuarrie,Peter Symonds +1 more
TL;DR: In this article, the authors generalize Brauer theory to the setting of profinite groups, and give a functorial description of the block theory of a profinite group.
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Counting irreducible modules for profinite groups
20 Sep 2022
TL;DR: In this article , the authors investigated the structure of groups with uniformly bounded exponential representation growth (UBERG) and obtained necessary and sufficient conditions for groups to have UBERG using crown-based powers.
Block theory and Brauer's first main theorem for profinite groups
01 Mar 2022
TL;DR: The local-global theory of blocks for profinite groups was developed in this article , where the defect group of a pro-p subgroup of a profinite group G is defined as a subgroup unique up to conjugacy in G .
References
Double coset formulas for profinite groups
TL;DR: In this paper, it was shown that in certain circumstances, there is a double coset formula for induction followed by restriction for representations of profinite groups, and that in particular, in the case of finite groups, the double cosets can be used for both induction and restriction.
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On the construction of permutation complexes for profinite groups
TL;DR: Goerss, Henn, Mahowald, and Rezk as mentioned in this paper constructed a complex of permutation modules for the Morava stabilizer group G_2 at the prime 3.
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