Results 21 to 30 of about 12,614,847 (317)
Abelian subgroups of Garside groups [PDF]
, 2008 In this paper, we show that for every abelian subgroup $H$ of a Garside group, some conjugate $g^{-1}Hg$ consists of ultra summit elements and the centralizer of $H$ is a finite index subgroup of the normalizer of $H$.
Alonso J. M. +19 more
core +1 more source
On non-Abelian T-duality for non-semisimple groups [PDF]
The European Physical Journal C, 2018 We revisit non-Abelian T-duality for non-semisimple groups, where it is well-known that a mixed gravitational-gauge anomaly leads to $$\sigma $$σ-models that are scale, but not Weyl-invariant.
Moonju Hong, Yoonsoo Kim, E. Ó Colgáin
semanticscholar +1 more source
A Distinguished Subgroup of Compact Abelian Groups
Axioms, 2022 Here “group” means additive abelian group. A compact group G contains δ–subgroups, that is, compact totally disconnected subgroups Δ such that G/Δ is a torus.
Dikran Dikranjan +3 more
doaj +1 more source
Extremal k-pseudocompact abelian groups [PDF]
, 2009 For a cardinal k, generalizing a recent result of Comfort and van Mill, we prove that every k-pseudocompact abelian group of weight >k has some proper dense k-pseudocompact subgroup and admits some strictly finer k-pseudocompact group topology.Comment ...
Bruno, Anna Giordano
core +3 more sources
Entropy Bounds on Abelian Groups and the Ruzsa Divergence [PDF]
IEEE Transactions on Information Theory, 2015 Over the past few years, a family of interesting new inequalities for the entropies of sums and differences of random variables has been developed by Ruzsa, Tao, and others, motivated by analogous results in additive combinatorics.
M. Madiman, Ioannis Kontoyiannis
semanticscholar +1 more source
TΩ-sequences in abelian groups
International Journal of Mathematics and Mathematical Sciences, 2000 A sequence in an abelian group is called a T-sequence if there exists a Hausdorff group topology in which the sequence converges to zero. This paper describes the fundamental system for the finest group topology in which this sequence converges to zero ...
Robert Ledet, Bradd Clark
doaj +1 more source
non-divisibility for abelian groups
پژوهشهای ریاضی, 2022 Introduction In Throughout all groups are abelian. Suppose that G is a group and n is a positive integer. For a ∈ G, if we consider the solution of the equation nx = a in G, two subsets of G are proposed.
mohammad reza vedadi, yaser Tolooei
doaj
The bi-embeddability relation for countable abelian groups
Transactions of the American Mathematical Society, 2018 We analyze the complexity of the bi-embeddability relations for countable torsion-free abelian groups and for countable torsion abelian groups.
F. Calderoni, S. Thomas
semanticscholar +1 more source
Strong theories of ordered abelian groups [PDF]
, 2015 We consider strong expansions of the theory of ordered abelian groups. We show that the assumption of strength has a multitude of desirable consequences for the structure of definable sets in such theories, in particular as relates to definable infinite ...
Alfred Dolich, John Goodrick
semanticscholar +1 more source
Proceedings of the American Mathematical Society, 1959 The question of the existence of noninner, nonouter Abelian Galois groups of noncommutative rings seems not to have been considered previously. Amitsur [1 ] may have come closest when he constructed noninner, nonouter cyclic division ring extensions.
openaire +2 more sources