Results 11 to 20 of about 272,600 (222)
Abelian p-extensions and additive polynomials [PDF]
International Journal of Mathematics, 2017 In this work, we present some arithmetic properties of families of abelian [Formula: see text]-extensions of global function fields, among which are their generators and their type of ramification and decomposition.
Barreto-Castañeda, Jonny Fernando +3 more
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On t-extensions of abelian groups [PDF]
, 2014 Let G and C be two discrete abelian groups. It is known that Pext(C,G) is a subgroup of Ext(C,G). In this paper, we introduce the t-extensions of G by C. We will show that the set of all t-extensions of G by C is a subgroup of Ext(C,G) which contains Pext(C,G).
Alijani, Aliakbar, Sahleh, Hossein
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On the classification of abelian extensions
The São Paulo Journal of Mathematical Sciences, 2012 For a flat Lie algebra g and a g-module M in a symmetric monoidal abelian category linear over a field of characteristic zero we establish and equivalence of categories between the groupoid of Lie algebra extensions of g by M and the groupoid of extensions in the category of g-modules of the augmentation ideal U(g)+by M.
Bressler, Paul
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$p$-groups with maximal elementary abelian subgroups of rank $2$ [PDF]
, 2010 Let p be an odd prime number and G a finite p-group. We prove that if the rank of G is greater than p, then G has no maximal elementary abelian subgroup of rank 2.
Mazza, Nadia, Glauberman, George
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Connected components of the category of elementary abelian $p$-subgroups. [PDF]
, 2008 We determine the maximal number of conjugacy classes of maximal elementary abelian subgroups of rank $2$ in a finite $p$-group $G$, for an odd prime $p$. Namely, it is $p$ if $G$ has rank at least $3$ and it is $p+1$ if $G$ has rank $2$.
Mazza, Nadia
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The Extension Dimension of Abelian Categories [PDF]
Algebras and Representation Theory, 2019 Let $\A$ be an abelian category having enough projective objects and enough injective objects. We prove that if $\A$ admits an additive generating object, then the extension dimension and the weak resolution dimension of $\A$ are identical, and they are at most the representation dimension of $\A$ minus two.
Zheng, Junling, Ma, Xin, Huang, Zhaoyong
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Higher Extensions of Abelian Varieties [PDF]
Nagoya Mathematical Journal, 1968 In this paper we prove:THEOREM: Let k be an algebraically closed field of characteristic p > 0, and let X and Y be abelian varieties over k. Then the group Ext2(X, Y) = 0.
Oort, Frans, Oda, Tadao
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Modal Extensions of Abelian Logic [PDF]
, 2018 This thesis studies the semantics and proof theory of modal extensions of abelian ...
Schnüriger, Laura Janina
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Genera in abelian extensions [PDF]
Proceedings of the American Mathematical Society, 1975 The principal genus in an abelian extension is characterized as the kernel of norm residue symbols at the ramified primes.
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Artin L-Functions for Abelian Extensions of Imaginary Quadratic Fields [PDF]
, 2005 Let F be an abelian extension of an imaginary quadratic field K with Galois group G. We form the Galois-equivariant L-function of the motive h(Spec F)(j) where the Tate twists j are negative integers.
Johnson, Jennifer Michelle
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