Displaying similar documents to “The centre of completed group algebras of pro- p groups.”

Quasibases of p -groups

Otto Mutzbauer, Elias Toubassi (1999)

Rendiconti del Seminario Matematico della Università di Padova

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Relation modules of infinite groups, II

Martin Evans (2014)

Open Mathematics

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Let F n denote the free group of rank n and d(G) the minimal number of generators of the finitely generated group G. Suppose that R ↪ F m ↠ G and S ↪ F m ↠ G are presentations of G and let R ¯ and S ¯ denote the associated relation modules of G. It is well known that R ¯ ( G ) d ( G ) S ¯ ( G ) d ( G ) even though it is quite possible that . However, to the best of the author’s knowledge no examples have appeared in the literature with the property that . Our purpose here is to exhibit, for each integer k ≥ 1, a group G...

The GL2 main conjecture for elliptic curves without complex multiplication

John Coates, Takako Fukaya, Kazuya Kato, Ramdorai Sujatha, Otmar Venjakob (2005)

Publications Mathématiques de l'IHÉS

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Let G be a compact -adic Lie group, with no element of order , and having a closed normal subgroup H such that G/H is isomorphic to . We prove the existence of a canonical Ore set S of non-zero divisors in the Iwasawa algebra Λ(G) of G, which seems to be particularly relevant for arithmetic applications. Using localization with respect to S, we are able to define a characteristic element for every finitely generated Λ(G)-module M which has the property that the quotient...