Triviality of scalar linear type isotropy subgroup by passing to an alternative canonical form of a hypersurface

Vladimir V. Ežov

Displaying similar documents to “Triviality of scalar linear type isotropy subgroup by passing to an alternative canonical form of a hypersurface”

On the K-theory of tubular algebras

Dirk Kussin (2000)

Colloquium Mathematicae

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Let Λ be a tubular algebra over an arbitrary base field. We study the Grothendieck group $K_{0} (Λ)$ , endowed with the Euler form, and its automorphism group $A u t (K_{0} (Λ))$ on a purely K-theoretical level as in [7]. Our results serve as tools for classifying the separating tubular families of tubular algebras as in the example [5] and for determining the automorphism group $A u t (D^{b} Λ)$ of the derived category of Λ.

A theorem of O'Nan for finite linear spaces

P. Zieschang (1993)

Colloquium Mathematicae

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Recognizability by spectrum of the group $L_{2} (7)$ in the class of all groups.

Lytkina, D.V., Kuznetsov, A.A. (2007)

Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]

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On uniform lower bound of the Galois images associated to elliptic curves

Keisuke Arai (2008)

Journal de Théorie des Nombres de Bordeaux

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Let $p$ be a prime and let $K$ be a number field. Let $ρ_{E, p} : G_{K} \to Aut (T_{p} E) ≅ {GL}_{2} (ℤ_{p})$ be the Galois representation given by the Galois action on the $p$ -adic Tate module of an elliptic curve $E$ over $K$ . Serre showed that the image of $ρ_{E, p}$ is open if $E$ has no complex multiplication. For an elliptic curve $E$ over $K$ whose $j$ -invariant does not appear in an exceptional finite set (which is non-explicit however), we give an explicit uniform lower bound of the size of the image of $ρ_{E, p}$ .