Results 31 to 40 of about 52,812 (244)
Algorithms for group isomorphism via group extensions and cohomology [PDF]
, 2017 The isomorphism problem for finite groups of order n (GpI) has long been known to be solvable in $n^{\log n+O(1)}$ time, but only recently were polynomial-time algorithms designed for several interesting group classes.
Grochow, Joshua A., Qiao, Youming
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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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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
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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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An Extension of Nice Bases on Ulm Subgroups of Primary Abelian Groups
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012 Suppose A is an Abelian p-group and is an ordinal such that A/pα A is a direct sum of countable groups. It is shown that A has a nice basis if, and only if, pα A has a nice basis. This strengthens an earlier result of ours in Bull. Allah. Math.
Danchev Peter
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A Note on the Square Subgroups of Decomposable Torsion-Free Abelian Groups of Rank Three
Annales Mathematicae Silesianae, 2018 A hypothesis stated in [16] is confirmed for the case of associative rings. The answers to some questions posed in the mentioned paper are also given. The square subgroup of a completely decomposable torsion-free abelian group is described (in both cases
Woronowicz Mateusz
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A Simple Classification of Finite Groups of Order p2q2 [PDF]
Mathematics Interdisciplinary Research, 2018 Suppose G is a group of order p2q2 where p>q are prime numbers and suppose P and Q are Sylow p-subgroups and Sylow q-subgroups of G, respectively. In this paper, we show that up to isomorphism, there are four groups of order p2q2 when Q and P are
Aziz Seyyed Hadi +2 more
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Intersections of Pure Subgroups in Abelian Groups [PDF]
Proceedings of the American Mathematical Society, 1981 It is shown that a subgroup H H of an abelian group G G is an intersection of pure subgroups of G G if and only if, for all primes p p and positive integers n n , p n g ∈ H {p ...
Boyer, D., Rangaswamy, K. M.
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Discussiones Mathematicae - General Algebra and Applications, 2017 It is studied how rank two pure subgroups of a torsion-free Abelian group of rank three influences its structure and type set. In particular, the criterion for such a subgroup B to be a direct summand of a torsion-free Abelian group of rank three with ...
Najafizadeh Alireza, Woronowicz Mateusz
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