Results 31 to 40 of about 11,420 (266)
Subgroups generated by images of endomorphisms of Abelian groups and duality
Journal of group theroy, 2018 A subgroup H of a group G is called endo-generated if it is generated by endo-images, i.e. images of endomorphisms of G. In this paper we determine the following classes of Abelian groups: (a) the endo-groups, i.e.
G. Călugăreanu, A. Chekhlov, P. Krylov
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Electronic Journal of Combinatorics, 2018 We show that if certain arithmetic conditions hold, then the Cayley isomorphism problem for abelian groups, all of whose Sylow subgroups are elementary abelian or cyclic, reduces to the Cayley isomorphism problem for its Sylow subgroups.
Ted Dobson
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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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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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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
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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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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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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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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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Characteristic random subgroups of geometric groups and free abelian groups of infinite rank [PDF]
, 2014 We show that if $G$ is a non-elementary word hyperbolic group, mapping class group of a hyperbolic surface or the outer automorphism group of a nonabelian free group then $G$ has $2^{\aleph_0}$ many continuous ergodic invariant random subgroups.
L. Bowen, R. Grigorchuk, R. Kravchenko
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