Results 21 to 30 of about 272,600 (222)
Some Questions on the Ideal Class Group of Imaginary Abelian Fields [PDF]
, 2007 Let k be an imaginary quadratic field. Assume that the class number of k is exactly an odd prime number p, and p splits into two distinct primes in k. Then it is known that a prime ideal lying above p is not principal.
Itoh, Tsuyoshi
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Global Solvably Closed Anabelian Geometry [PDF]
, 2006 In this paper, we study the pro-Σ anabelian geometry of hyperbolic curves, where Σ is a nonempty set of prime numbers, over Galois groups of “solvably closed extensions” of number fields — i.e., infinite extensions of number fields which have ...
Mochizuki, Shinichi
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Wintenberger’s functor for abelian extensions [PDF]
Journal de théorie des nombres de Bordeaux, 2010 Let k be a finite field. Wintenberger used the field of norms to give an equivalence between a category whose objects are totally ramified abelian p -adic Lie ...
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Inverse property of nonassociative abelian extensions [PDF]
Commentationes Mathematicae Universitatis Carolinae, 2021 Our paper deals with the investigation of extensions of commutative groups by loops so that the quasigroups that result in the multiplication between cosets of the kernel subgroup are T-quasigroups. We limit our study to extensions in which the quasigroups determining the multiplication are linear functions without constant term, called linear abelian ...
Figula, Ágota, Nagy, Péter Tibor
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Calabi–Yau threefolds and moduli of abelian surfaces I [PDF]
, 2001 We describe birational models and decide the rationality/unirationality of moduli spaces $\cal A$d (and $\cal A$levd) of (1, d)-polarized Abelian surfaces (with canonical level structure, respectively) for small values of d.
Sorin Popescu +3 more
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Twisted forms of finite étale extensions and separable polynomials
International Journal of Mathematics and Mathematical Sciences, 2001 Examples of twisted forms of finite étale extensions and separable polynomials are calculated using Mayer-Vietoris sequences for non-abelian cohomology.
Frank DeMeyer
doaj +1 more source
Ranks for Families of Theories of Abelian Groups
Известия Иркутского государственного университета: Серия "Математика", 2019 The rank for families of theories is similar to Morley rank and can be considered as a measure for complexity or richness of these families. Increasing the rank by extensions of families we produce more rich families and obtaining families with the ...
In. I. Pavlyuk, S.V. Sudoplatov
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Generalized dualities and higher derivatives
Journal of High Energy Physics, 2020 Generalized dualities had an intriguing incursion into Double Field Theory (DFT) in terms of local O(d, d) transformations. We review this idea and use the higher derivative formulation of DFT to compute the first order corrections to generalized ...
Tomas Codina, Diego Marqués
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Non-abelian gauge extensions for B-decay anomalies
Physics Letters B, 2016 We study the generic features of minimal gauge extensions of the Standard Model in view of recent hints of lepton-flavor non-universality in semi-leptonic b→sℓ+ℓ− and b→cℓν decays.
Sofiane M. Boucenna +4 more
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Automorphisms of abelian group extensions
Journal of Algebra, 2010 11 ...
Passi, I.B.S. +2 more
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