Results 121 to 130 of about 263 (155)
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The Little Group Method for Abelian Extensions
2022In this chapter we study the representation theory of the class of groups G with a normal subgroup N such that the following conditions are satisfied: (formula presented).
Ceccherini-Silberstein T. +2 more
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Ramification in Elementary Abelian Extensions
Journal of Mathematical Sciences, 2014Let \(K\) be a complete discrete valuation field \(K\) with imperfect residue field \(\bar{K}\), valuation \(v_K\) and maximal ideal \({\mathfrak m}_K\). It is assumed that \([\bar{K}:\bar{K}^p]=p\). For a natural number \(i\), let \(K_i\) be the composite of all extensions \(L/K\) such that \(L/K\) is given by the equation \(x^p-x=a, a\in{\mathfrak m ...
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HOMOLOGY OF FREE ABELIANIZED EXTENSIONS OF GROUPS
Mathematics of the USSR-Sbornik, 1992Let \(G\) be a group presented as a factor group \(G = F/N\) of a free group \(F\). Let \(\Phi = F/N'\), which is known as a free abelian extension of \(G\). Ground breaking work on the homology groups of \(\Phi\) with trivial integer coefficients was done by the second author [Commun. Algebra 16, No. 12, 2447-2533 (1988; Zbl 0682.20038)].
Kovács, L. G. +2 more
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Semigroup extensions of Abelian topological groups
Semigroup Forum, 2018In the paper it is stated that a topological group is called \textit{absolutely closed} if it is closed in every topological group containing it as a subgroup; and a topological group is absolutely closed if and only if it is complete [\textit{D. Raikov}, Izv. Akad. Nauk SSSR, Ser. Mat. 10, 513--528 (1946; Zbl 0061.04206)]. Given a topological group $G$
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1968
The object of extension, theory is to give a survey of the possible abstractly different extensions of a group T by a group K. Our solution consists in exhibiting a representative family of extensions of T by K supplemented by a criterion for the isomorphy of groups of this family. We consider arbitrary reduced groups T and arbitrary groups K.
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The object of extension, theory is to give a survey of the possible abstractly different extensions of a group T by a group K. Our solution consists in exhibiting a representative family of extensions of T by K supplemented by a criterion for the isomorphy of groups of this family. We consider arbitrary reduced groups T and arbitrary groups K.
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Abelian Extensions with Restricted Ramification — Abelian Closure
2003This chapter deals with the correspondence of class field theory both for finite and infinite extensions; this second aspect, obtained by limiting processes, will enable us to understand the structure of the maximal abelian extension of a number field K (Section 4 of the present chapter).
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Abelian kernels, profinite topologies and the extension problem
Ricerche Di Matematica, 2021Adolfo Ballester-Bolinches +2 more
exaly
Effective Dirac Neutrino Mass Operator in the Standard Model With a Local Abelian Extension
Frontiers in Physics, 2022Diego Restrepo, Restrepo Diego
exaly
On Abelian extensions of rings. II
Mathematical Journal of Okayama University, 1970openaire +5 more sources