Add to ORKGWe give an example of a short exact sequence 1 → N → G → D → 1 of pro-p groups such that the cohomological dimension cd(G) = 2, G is (topologically) finitely generated, N is a free pro-p group of infinite rank, D is a Demushkin group, for every closed subgroup S of G containing N and any natural number n the inflation map H2(S/N,Z/(pn)) → H2(S,Z/(pn)) is an isomorphism but G is not a free pro-p product of a free pro-p group by a Demushkin group. This is a group theoretic version of a question raised by T. Würfel for some special Galois groups.
In the first part of the chapter it is shown that if Λ is a profinite ring and M is a profinite Λ -m...
In this note we study a modified version of the "Elementary Type Conjecture" for pro-p Galois groups...
International audienceLet $\KST$ be the maximal pro-$p$-extension of the cyclotomic $\Z_p$-extension...
We give an example of a short exact sequence 1 -> N -> G -> D -> 1 of pro-p groups such that the coh...
International audienceWe study subdirect products of free and Demushkin pro-p groups of depth ∞ deve...
We study subdirect products of free and Demushkin pro-p groups of depth infinity developing theory s...
The chapter begins with a detailed description of tensor products of complexes of modules and the te...
Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)We study when an abstract finite...
AbstractLet p be a prime. We classify finitely generated pro-p groups G which satisfy d(H)=d(G) for ...
AbstractFor any prime p and group G, denote the pro-p completion of G by Gˆp. Let C be the class of ...
AbstractLet G be a pro-p group, which is a finite cyclic p-extension of a pro-p product of a free pr...
AbstractWe study subdirect products of free and Demushkin pro-p groups of depth ∞ developing theory ...
Let G be a finitely presented pro-script C sign group with discrete relations. We prove that the ker...
Abstract. Let K̃TS be the maximal pro-p-extension of the cyclotomic Zp-extension Kcyc of a number fi...
Let C be a class of finite groups closed under the operations of taking subgroups, quotients, and ex...
In the first part of the chapter it is shown that if Λ is a profinite ring and M is a profinite Λ -m...
In this note we study a modified version of the "Elementary Type Conjecture" for pro-p Galois groups...
International audienceLet $\KST$ be the maximal pro-$p$-extension of the cyclotomic $\Z_p$-extension...
We give an example of a short exact sequence 1 -> N -> G -> D -> 1 of pro-p groups such that the coh...
International audienceWe study subdirect products of free and Demushkin pro-p groups of depth ∞ deve...
We study subdirect products of free and Demushkin pro-p groups of depth infinity developing theory s...
The chapter begins with a detailed description of tensor products of complexes of modules and the te...
Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)We study when an abstract finite...
AbstractLet p be a prime. We classify finitely generated pro-p groups G which satisfy d(H)=d(G) for ...
AbstractFor any prime p and group G, denote the pro-p completion of G by Gˆp. Let C be the class of ...
AbstractLet G be a pro-p group, which is a finite cyclic p-extension of a pro-p product of a free pr...
AbstractWe study subdirect products of free and Demushkin pro-p groups of depth ∞ developing theory ...
Let G be a finitely presented pro-script C sign group with discrete relations. We prove that the ker...
Abstract. Let K̃TS be the maximal pro-p-extension of the cyclotomic Zp-extension Kcyc of a number fi...
Let C be a class of finite groups closed under the operations of taking subgroups, quotients, and ex...
In the first part of the chapter it is shown that if Λ is a profinite ring and M is a profinite Λ -m...
In this note we study a modified version of the "Elementary Type Conjecture" for pro-p Galois groups...
International audienceLet $\KST$ be the maximal pro-$p$-extension of the cyclotomic $\Z_p$-extension...