Results 31 to 40 of about 75,128 (199)
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
General U(1)xU(1) F-theory Compactifications and Beyond: Geometry of unHiggsings and novel Matter Structure [PDF]
, 2015 We construct the general form of an F-theory compactification with two U(1) factors based on a general elliptically fibered Calabi-Yau manifold with Mordell-Weil group of rank two.
Cvetic, Mirjam +3 more
core +2 more sources
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
doaj +1 more source
Compact K\"ahler manifolds admitting large solvable groups of automorphisms
, 2015 Let G be a group of automorphisms of a compact K\"ahler manifold X of dimension n and N(G) the subset of null-entropy elements. Suppose G admits no non-abelian free subgroup.
Dinh, Tien-Cuong, Hu, Fei, Zhang, De-Qi
core +1 more source
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
doaj +1 more source
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.
openaire +1 more source
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
doaj +1 more source
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 \(H\).
openaire +2 more sources
, 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
core +1 more source
Advanced Intelligent Discovery, EarlyView.This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
wiley +1 more source