Results 21 to 30 of about 51,537 (200)
Normality in Uncountable Groups [PDF]
Advances in Group Theory and Applications, 2017 The main purpose of this paper is to describe the structure of uncountable groups of cardinality $\aleph$ in which all subgroups of cardinality $\aleph$ are normal.
Maria De Falco +3 more
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Dimensional groups and fields [PDF]
, 2019 We shall define a general notion of dimension, and study groups and rings whose interpretable sets carry such a dimensio. In particular, we deduce chain conditions for groups, definability results for fields and domains, and show that pseudofinite groups
Wagner, Frank Olaf
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Efficient quantum algorithms for some instances of the non-Abelian hidden subgroup problem [PDF]
, 2001 In this paper we show that certain special cases of the hidden subgroup problem can be solved in polynomial time by a quantum algorithm. These special cases involve finding hidden normal subgroups of solvable groups and permutation groups, finding hidden
Ivanyos, Gabor +2 more
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G-Groups and Biuniform Abelian Normal Subgroups [PDF]
Advances in Group Theory and Applications, 2016 We prove a weak form of the Krull-Schmidt Theorem concerning the behavior of direct-product decompositions of $G$-groups, biuniform abelian $G$-groups, $G$-semidirect products and the $G$-set $Hom(H,A)$. Here $G$ and $A$ are groups and $H$ is a $G$-group.
María José Arroyo Paniagua +1 more
doaj +1 more source
Some definition of the Artin exponent of finite groups [PDF]
, 1996 The Artin exponent induced from cyclic subgroups of finite groups was studied extensively by T.Y. Lam. A Burnside ring theoretic version of Lam's results for $p$-groups was given by the author in an earlier paper.
Nwabueze, K. K.
core +3 more sources
On the number of subgroups of a given exponent in a finite abelian group [PDF]
, 2017 This paper deals with the number of subgroups of a given exponent in a finite abelian group. Explicit formulas are obtained in the case of rank two and rank three abelian groups.
Tóth, László, Tărnăuceanu, Marius
core +2 more sources
Maximal order Abelian Subgroups of Symmetric Groups [PDF]
Bulletin of the London Mathematical Society, 1989 In answer to a problem arising in the study of the statistical mechanics of systems of N quantum spins, the following classification of maximal order abelian subgroups G of \(S_ N\) is obtained. G is isomorphic to a direct product of k copies of \({\mathbb{Z}}_ 3\) if \(N=3k\). G is isomorphic to a direct product of \({\mathbb{Z}}_ 2\) with k copies of
Burns, J. M., Goldsmith, Brendan
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Commutators in groups of piecewise projective homeomorphisms [PDF]
, 2018 In 2012 Monod introduced examples of groups of piecewise projective homeomorphisms which are not amenable and which do not contain free subgroups, and later Lodha and Moore introduced examples of finitely presented groups with the same property.
Burillo, José +2 more
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Abelian subgroups of pro-$p$ Galois groups [PDF]
Transactions of the American Mathematical Society, 1998 Summary: It is proved that non-trivial normal abelian subgroups of the Galois group of the maximal Galois \(p\)-extension of a field \(F\) (where \(p\) is an odd prime) arise from \(p\)-Henselian valuations with non-\(p\)-divisible value group, provided \(\# (\dot{F}/\dot{F}^{p})\geq p^{2}\) and \(F\) contains a primitive \(p\)-th root of unity.
Engler, A, Koenigsmann, J
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Abelian subgroups of two‐dimensional Artin groups [PDF]
Bulletin of the London Mathematical Society, 2021 This article was originally Section 6 from the article arXiv:1906.03154, which is being split into ...
Martin, Alexandre, Przytycki, Piotr
openaire +3 more sources