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Displaying 121 – 140 of 175

Properties of subgroups not containing their centralizers

Lemnouar Noui (2009)

Annales mathématiques Blaise Pascal

In this paper, we give a generalization of Baer Theorem on the injective property of divisible abelian groups. As consequences of the obtained result we find a sufficient condition for a group $G$ to express as semi-direct product of a divisible subgroup $D$ and some subgroup $H$ . We also apply the main Theorem to the $p$ -groups with center of index $p^{2}$ , for some prime $p$ . For these groups we compute $N_{c} (G)$ the number of conjugacy classes and $N_{a}$ the number of abelian maximal subgroups and $N_{n a}$ the number of nonabelian...

Purity of level $m$ stratifications

Marc-Hubert Nicole, Adrian Vasiu, Torsten Wedhorn (2010)

Annales scientifiques de l'École Normale Supérieure

Let $k$ be a field of characteristic $p > 0$ . Let $D_{m}$ be a ${BT}_{m}$ over $k$ (i.e., an $m$ -truncated Barsotti–Tate group over $k$ ). Let $S$ be a $k$ -scheme and let $X$ be a ${BT}_{m}$ over $S$ . Let $S_{D_{m}} (X)$ be the subscheme of $S$ which describes the locus where $X$ is locally for the fppf topology isomorphic to $D_{m}$ . If $p \geq 5$ , we show that $S_{D_{m}} (X)$ is pure in $S$ , i.e. the immersion $S_{D_{m}} (X) ↪ S$ is affine. For $p \in {2, 3}$ , we prove purity if $D_{m}$ satisfies a certain technical property depending only on its $p$ -torsion $D_{m} [p]$ . For $p \geq 5$ , we apply the developed techniques to show that all level $m$ ...

Realisierung formaler Gruppen durch Kohomologiefunktoren.

Urs Würgler (1974/1975)

Manuscripta mathematica

Relative Lubin-Tate Formal Groups and Galois module structure.

Shih-Ping Chan (1992)

Manuscripta mathematica

Relèvements des groupes formels commutatifs

Pierre Cartier (1968/1969)

Séminaire Bourbaki

Représentations $p$ -adiques potentiellement cristallines

Nathalie Wach (1996)

Bulletin de la Société Mathématique de France

Restriction of the scalars for formal groups.

Bondarko, M.V., Vostokov, S.V., Minchev, Kh.P. (2004)

Zapiski Nauchnykh Seminarov POMI

Rigid analytische Gruppen mit guter Reduktion.

Siegfried Bosch (1976)

Mathematische Annalen

Sekiguchi-Suwa theory revisited

Ariane Mézard, Matthieu Romagny, Dajano Tossici (2014)

Journal de Théorie des Nombres de Bordeaux

We present an account of the construction by S. Sekiguchi and N. Suwa of a cyclic isogeny of affine smooth group schemes unifying the Kummer and Artin-Schreier-Witt isogenies. We complete the construction over an arbitrary base ring. We extend the statements of some results in a form adapted to a further investigation of the models of the group schemes of roots of unity.

Selmer group estimates arising from the existence of canonical subgroups

A. Klapper (1989)

Compositio Mathematica

Subspaces of moduli spaces of rank one local systems

Carlos Simpson (1993)

Annales scientifiques de l'École Normale Supérieure

Subvarieties of Moduli Spaces.

Frans Oort (1974)

Inventiones mathematicae

Sui sistemi di bifattori in caratteristica positiva

G. Gerotto (1983)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Sur la cohomologie galoisienne des corps $p$ -adiques

Laurent Herr (1998)

Bulletin de la Société Mathématique de France

Sur les représentations p-adiques des corps locaux multidmensionelles attachés aux groupes formels.

D.G. Benois, S.V. Vostokov (1993)

Journal für die reine und angewandte Mathematik

Tate duality and wild ramification.

William G. McCallum (1990)

Mathematische Annalen

The correspondence between Barsotti-Tate groups and Kisin modules when $p = 2$

Tong Liu (2013)

Journal de Théorie des Nombres de Bordeaux

Let $K$ be a finite extension over $ℚ_{2}$ and $𝒪_{K}$ the ring of integers. We prove the equivalence of categories between the category of Kisin modules of height 1 and the category of Barsotti-Tate groups over $𝒪_{K}$ .

The Drinfeld Modular Jacobian $J_{1} (n)$ has connected fibers

Sreekar M. Shastry (2007)

Annales de l’institut Fourier

We study the integral model of the Drinfeld modular curve $X_{1} (n)$ for a prime $n \in 𝔽_{q} [T]$ . A function field analogue of the theory of Igusa curves is introduced to describe its reduction mod $n$ . A result describing the universal deformation ring of a pair consisting of a supersingular Drinfeld module and a point of order $n$ in terms of the Hasse invariant of that Drinfeld module is proved. We then apply Jung-Hirzebruch resolution for arithmetic surfaces to produce a regular model of $X_{1} (n)$ which, after contractions in...

The formal completion of the Néron model of J0(p).

Enric Nart (1991)

Publicacions Matemàtiques

For any prime number p > 3 we compute the formal completion of the Néron model of J0(p) in terms of the action of the Hecke algebra on the Z-module of all cusp forms (of weight 2 with respect to Γ0(p)) with integral Fourier development at infinity.

The global structure of moduli spaces of polarized $p$ -divisible groups.

Viehmann, Eva (2008)

Documenta Mathematica

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