Results 11 to 20 of about 1,010 (185)
Hodge-Deligne polynomials of character varieties of free abelian groups
Open Mathematics, 2021 Let FF be a finite group and XX be a complex quasi-projective FF-variety. For r∈Nr\in {\mathbb{N}}, we consider the mixed Hodge-Deligne polynomials of quotients Xr/F{X}^{r}\hspace{-0.15em}\text{/}\hspace{-0.08em}F, where FF acts diagonally, and compute ...
Florentino Carlos, Silva Jaime
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Confinement in 4D: An Attempt at Classical Understanding
Universe, 2021 In this review, we revisit our approach to constructing an effective theory for Abelian and Non-Abelian gauge theories in 4D. Our goal is to have an effective theory that provides a simple classical picture of the main qualitatively important features of
Ibrahim Burak Ilhan, Alex Kovner
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Rocky Mountain Journal of Mathematics, 2002 An Abelian group \(A\) is \(M\)-free with basis \(X\) if \(X\) is a subset of \(A\) such that every map from \(X\) to the Abelian group \(M\) extends uniquely to a homomorphism from \(A\) to \(M\). Examples are split-\(M\)-free groups which are direct sums of the free group with basis \(X\) and a group which has only the zero homomorphism into \(M ...
Dugas, Manfred +2 more
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On Some Results of a Torsion-Free Abelian Trace Group
Recoletos Multidisciplinary Research Journal, 2014 In [6], givenany torsion-free abelian groups Gand H, the pure trace of Hin Gis *,:,GHHomfHfGHtr which is equivalent to the set ZnGHHomfHfngGgsomefor ,,:.The pure trace GHtr, is a pure fully invariant subgroup of G.
Ricky B. Villeta
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Small Points and Free Abelian Groups [PDF]
International Mathematics Research Notices, 2015 Let $F$ be an algebraic extension of the rational numbers and $E$ an elliptic curve defined over some number field contained in $F$. The absolute logarithmic Weil height, respectively the N ron-Tate height, induces a norm on $F^*$ modulo torsion, respectively on $E(F)$ modulo torsion.
Grizzard, Robert +2 more
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Diophantine problems in solvable groups [PDF]
Bulletin of Mathematical Sciences, 2020 We study the Diophantine problem (decidability of finite systems of equations) in different classes of finitely generated solvable groups (nilpotent, polycyclic, metabelian, free solvable, etc.), which satisfy some natural “non-commutativity” conditions.
Albert Garreta +2 more
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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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A countably compact free Abelian group whose size has countable cofinality
Applied General Topology, 2004 Based on some set-theoretical observations, compactness results are given for general hit-and-miss hyperspaces. Compactness here is sometimes viewed splitting into “k-Lindelöfness” and ”k-compactness” for cardinals k.
I. Castro Pereira, A.H. Tomita
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Free compact groups I: Free compact abelian groups
Topology and its Applications, 1986 The structure of free compact abelian groups is investigated. A compact abelian group G is free compact abelian if and only if \(G\cong K\times {\hat {\mathbb{Q}}}^ a\times \prod_{p\in prime}{\mathbb{Z}}^ b_ p\), where \({\hat {\mathbb{Q}}}\) is the character group of the discrete group of rationals, K is a compact connected abelian group with dense ...
Hofmann, Karl Heinrich +1 more
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Structure of Finite-Dimensional Protori
Axioms, 2019 A Structure Theorem for Protori is derived for the category of finite-dimensional protori (compact connected abelian groups), which details the interplay between the properties of density, discreteness, torsion, and divisibility within a finite ...
Wayne Lewis
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