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A note on the continuous extensions of injective morphisms between free groups to relatively fre profinite groups.

Thierry Coulbois, Mark Sapir, Pascal Weil (2003)

Publicacions Matemàtiques

Let V be a pseudovariety of finite groups such that free groups are residually V, and let φ: F(A) → F(B) be an injective morphism between finitely generated free groups. We characterize the situations where the continuous extension φ' of φ between the pro-V completions of F(A) and F(B) is also injective. In particular, if V is extension-closed, this is the case if and only if φ(F(A)) and its pro-V closure in F(B) have the same rank. We examine a number of situations where the injectivity of φ' can...

Abelian profinite groups

Krzysztof Krupiński (2005)

Fundamenta Mathematicae

Algebre di Lie graduate in caratteristica due

Giuseppe Jurman (2000)

Bollettino dell'Unione Matematica Italiana

An application of Burnside rings in elementary finite group theory.

Dress, Andreas W.M., Siebeneicher, Christian, Yoshida, Tomoyuki (1990)

Séminaire Lotharingien de Combinatoire [electronic only]

An Application of Simplicial Profinite Groups.

Daniel G. Quillen (1969)

Commentarii mathematici Helvetici

An Arithmetic Property of Profinite Groups.

Wolfgang Herfort (1982)

Manuscripta mathematica

An elementary proof that finite groups are projectively torsion-free

Almeida, Jorge (1990)

Portugaliae mathematica

Automorphismen nilpotenter proendlicher Gruppen.

R. Albert (1983)

Monatshefte für Mathematik

Bicyclic commutator quotients with one non-elementary component

Daniel Mayer (2023)

Mathematica Bohemica

For any number field $K$ with non-elementary $3$ -class group ${Cl}_{3} (K) ≃ C_{3^{e}} \times C_{3}$ , $e \geq 2$ , the punctured capitulation type $ϰ (K)$ of $K$ in its unramified cyclic cubic extensions $L_{i}$ , $1 \leq i \leq 4$ , is an orbit under the action of $S_{3} \times S_{3}$ . By means of Artin’s reciprocity law, the arithmetical invariant $ϰ (K)$ is translated to the punctured transfer kernel type $ϰ (G_{2})$ of the automorphism group $G_{2} = Gal (F_{3}^{2} (K) / K)$ of the second Hilbert $3$ -class field of $K$ . A classification of finite $3$ -groups $G$ with low order and bicyclic commutator quotient $G / G^{'} ≃ C_{3^{e}} \times C_{3}$ , $2 \leq e \leq 6$ , according to the algebraic invariant...

Classification of pro- $p$ subgroups of ${SL}_{2}$ over a $p$ -adic ring, where $p$ is an odd prime

Richard Pink (1993)

Compositio Mathematica

Composition de séries formelles et corps de classes

F. LAUBI (1987/1988)

Seminaire de Théorie des Nombres de Bordeaux

Conjugacy classes of series in positive characteristic and Witt vectors.

Sandrine Jean (2009)

Journal de Théorie des Nombres de Bordeaux

Let $k$ be the algebraic closure of $𝔽_{p}$ and $K$ be the local field of formal power series with coefficients in $k$ . The aim of this paper is the description of the set $𝒴_{n}$ of conjugacy classes of series of order $p^{n}$ for the composition law. This work is concerned with the formal power series with coefficients in a field of characteristic $p$ which are invertible and of finite order $p^{n}$ for the composition law. In order to investigate Oort’s conjecture, I give a description of conjugacy classes of series by means...

Deformations and derived categories

Frauke M. Bleher, Ted Chinburg (2005)

Annales de l'institut Fourier

In this paper we generalize the deformation theory of representations of a profinite group developed by Schlessinger and Mazur to deformations of objects of the derived category of bounded complexes of pseudocompact modules for such a group. We show that such objects have versal deformations under certain natural conditions, and we find a sufficient condition for these versal deformations to be universal. Moreover, we consider applications to deforming Galois cohomology classes and the étale hypercohomology...

Currently displaying 1 – 20 of 111

Page 1 Next

Displaying 1 – 20 of 111

A note on the continuous extensions of injective morphisms between free groups to relatively fre profinite groups.

Abelian profinite groups

Algebre di Lie graduate in caratteristica due

An application of Burnside rings in elementary finite group theory.

An Application of Simplicial Profinite Groups.

An Arithmetic Property of Profinite Groups.

An elementary proof that finite groups are projectively torsion-free

Automorphismen nilpotenter proendlicher Gruppen.

Bicyclic commutator quotients with one non-elementary component

Classification of pro- $p$ subgroups of ${SL}_{2}$ over a $p$ -adic ring, where $p$ is an odd prime

Composition de séries formelles et corps de classes

Conjugacy classes of series in positive characteristic and Witt vectors.

Deformations and derived categories

Der Eindeutigkeitssatz für Demuskinformationen.

Des automorphismes continus d'un corps de séries de Puiseux

Die Struktur der absoluten Galoisgruppe p-adischer Körper.

Ein Freiheitskriterium für pro-p-Gruppen mit Anwendung auf die Struktur der Brauer-Gruppe.

Ensembles profinis simpliciaux et interprétation géométrique du foncteur $T$

Equivalence élémentaire entre groupes finis-par-abéliens de type fini.

Farrell cohomology and Brwon theorems for profinite groups.

Currently displaying 1 – 20 of 111