Results 181 to 190 of about 272,600 (222)

On Non-split Abelian Extensions

Bulletin of the Iranian Mathematical Society, 2020
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Noureddine Snanou, Mohammed Elhassani Charkani   +1 more
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ON THE ABELIAN EXTENSIONS OF LOCALLY COMPACT ABELIAN GROUPS

Mathematics of the USSR-Sbornik, 1982
The group of all abelian extensions of a compact abelian group by a discrete abelian group is calculated completely. Criteria are found for the vanishing of the group of all abelian extensions of a discrete abelian group by a compact one. Two criteria for the splitting of compact abelian groups are obtained.
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Abelian Extensions of Quantum Logics

International Journal of Theoretical Physics, 1998
Quantum structures like OMLs, OMPs, orthoalgebras, effect algebras may be regarded as cancellative, unital partial abelian semigroups (PAS). In the paper, it is shown that every cancellative, unital PAS is an extension of an effect algebra by an abelian group.
Feldman, David V., Wilce, Alexander
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Commutative ideal extensions of abelian groups

ACM SIGSAM Bulletin, 1999
An element \(x\) in a semigroup \(S\) is Archimedean if for every \(y\in S\) there exist a nonnegative integer \(k\) and \(z\in S\) such that \(kx=y+z\). A commutative semigroup \(E\) is an ideal extension of an Abelian group if and only if \(E\) has an element that is Archimedean and idempotent.
Juan Ignacio García-García, Pedro A. García-Sánchez, José Carlos Rosales   +2 more
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The Little Group Method for Abelian Extensions

2022
In 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., Scarabotti F., Tolli F.   +2 more
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A note on abelian extensions

Wuhan University Journal of Natural Sciences, 2008
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Yu, Chuxiong, Fan, Yun
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Distribution of Discriminants of Abelian Extensions

Proceedings of the London Mathematical Society, 1989
In this paper, class field theory is used to determine the distribution of the relative discriminants of all Galois extensions of a given global field k with Galois group isomorphic to a given finite abelian group G. In the case that the base field has characteristic \(p>0\), the results established assume that p does not divide the order of G.
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Ramification in Elementary Abelian Extensions

Journal of Mathematical Sciences, 2014
Let \(K\) 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, 1992
Let \(G\) 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., Kuz'min, Yu. V., Stöhr, R.   +2 more
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Extensions of Abelian Groups

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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