Results 31 to 40 of about 74,995 (149)
Groups whose proper subgroups of infinite rank have polycyclic-by-finite conjugacy classes [PDF]
International Journal of Group Theory, 2016 A group G is said to be a (PF)C-group or to have polycyclic-by-finite conjugacy classes, if G/C_{G}(x^{G}) is a polycyclic-by-finite group for all xin G. This is a generalization of the familiar property of being an FC-group.
Mounia Bouchelaghem, Nadir Trabelsi
doaj
When rational sections become cyclic — Gauge enhancement in F-theory via Mordell-Weil torsion
Journal of High Energy Physics, 2018 We explore novel gauge enhancements from abelian to non-simply-connected gauge groups in F-theory. To this end we consider complex structure deformations of elliptic fibrations with a Mordell-Weil group of rank one and identify the conditions under which
Florent Baume +3 more
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A stringy test of the Scalar Weak Gravity Conjecture
Nuclear Physics B, 2019 We prove a version of the Weak Gravity Conjecture for 6d F-theory or heterotic string compactifications with 8 supercharges. This sharpens our previous analysis by including massless scalar fields.
Seung-Joo Lee +2 more
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An equivalence relation for torsion-free abelian groups of finite rank
Journal of Algebra, 1992 The equivalence relation in question is defined as follows: let \({^\perp G}=\{X:\Hom(X,G)=0\}\). Then \(G\) is equivalent to \(H\) if and only if \({^\perp G}={^\perp H}\). Since this relation is coarser than quasi-isomorphism, it is useful in classifying torsion-free abelian groups.
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The Discrete Fundamental Group of the Associahedron, and the Exchange Module
, 2013 The associahedron is an object that has been well studied and has numerous applications, particularly in the theory of operads, the study of non-crossing partitions, lattice theory and more recently in the study of cluster algebras.
CHRISTOPHER SEVERS +5 more
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On the nonperiodic groups, whose subgroups of infinite special rank are transitively normal
Доповiдi Нацiональної академiї наук УкраїниThis paper devoted to the nonperiodic locally generalized radical groups, whose subgroups of infinite special rank are transitively normal. We proved that if such a group G includes an ascendant locally nilpotent subgroup of infinite special rank, then G
L.A. Kurdachenko +2 more
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Khovanskii's theorem and effective results on sumset structure
Discrete Analysis, 2021 Khovanskii's theorem and effective results on sumset structure, Discrete Analysis 2021:27, 25 pp. Let $A$ be a subset of an Abelian group. The $n$-_fold sumset_ $nA$ of $A$ is the set $\{a_1+\dots+a_n:a_1,\dots,a_n\in A\}$.
Michael J. Curran, Leo Goldmakher
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An elementary abelian group of large rank is not a CI-group
Discrete Mathematics, 2003 We say that a finite group \(H\) has the Cayley isomorphy (CI) property (or, shortly, \(H\) is a CI-group) if any pair of directed Cayley graphs over \(H\) is non-isomorphic unless an isomorphism exists between the digraphs which can be induced by an automorphism of \(H\).
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, 2019 An equation to compute the dp-rank of any abelian group is given. It is also shown that its dp-rank, or more generally that of any one-based group, agrees with its Vapnik-Chervonenkis density.
Halevi, Yatir, Palacín, Daniel
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On Geometric Phase Model in the Theory of Curves With Myller Configuration
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this paper, we introduce a linearly polarized light wave in an optical fiber and rotation of the polarization plane through the Frenet‐type frame with Myller configuration. Since the geometric evaluation and interpretations of a polarized light wave are associated with geometric phase, a new type of geometric phase model has been ...
Zehra İşbilir +2 more
wiley +1 more source