Results 31 to 40 of about 120,594 (244)
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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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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Abelian networks III. The critical group [PDF]
, 2015 The critical group of an abelian network is a finite abelian group that governs the behavior of the network on large inputs. It generalizes the sandpile group of a graph.
Bond, Benjamin, Levine, Lionel
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International Journal of Mathematics and Mathematical Sciences, 2003 Let p be a prime. It is shown that an automorphism α of an abelian p-group A lifts to any abelian p-group of which A is a homomorphic image if and only if α=π idA, with π an invertible p-adic integer.
S. Abdelalim, H. Essannouni
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A Characterization of Free Abelian Groups [PDF]
Proceedings of the American Mathematical Society, 1985 In the category of abelian groups, being free is equivalent to having a discrete norm.
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Gauge contribution to the 1/N F expansion of the Yukawa coupling beta function
Journal of High Energy Physics, 2018 We provide a closed analytical form for the gauge contribution to the beta function of a generic Yukawa coupling in the limit of large N F , where N F is the number of heavy vector-like fermions charged under an abelian or non-abelian gauge group.
Kamila Kowalska, Enrico Maria Sessolo
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On finite state automaton actions of HNN extensions of free abelian groups
Karpatsʹkì Matematičnì Publìkacìï, 2021 HNN extensions of free abelian groups are considered. For arbitrary prime $p$ it is introduced a class of such extensions that act by finite automaton permutations over an alphabet $ \mathsf{X} $ of cardinality $p$ and belong to $p$-Sylow subgroup of the
V. Prokhorchuk
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Regularity in torsion-free abelian groups [PDF]
Czechoslovak Mathematical Journal, 1992 Eine Untergruppe \(B\) einer torsionsfreien abelschen Gruppe \(A\) heißt regulär (kritisch regulär) falls \(t^ B(b) = t^ A(b)\) für alle \(b\in B\) (falls für alle Typen \(t\) gilt: \(B(t) \setminus B^*(t)_ * \subset A(t)\setminus A^*(t)_ *\)). Die Untergruppe \(B\) heißt stark regulär, falls \(B\) eine reguläre und eine kritisch reguläre Untergruppe ...
Müller, Edgar, Mutzbauer, Otto
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