Results 51 to 60 of about 813,424 (237)
Some special classes of n-abelian groups [PDF]
International Journal of Group Theory, 2012 Let n be an integer. A group G is said to be n-abelian if the map phi_n that sends g to g^n is an endomorphism of G. Then (xy)^n=x^ny^n for all x,y in G, from which it follows [x^n,y]=[x,y]^n=[x,y^n]. It is also easy to see that a group G is n-abelian if
Costantino Delizia, Antonio Tortora
doaj
On decomposable pseudofree groups
International Journal of Mathematics and Mathematical Sciences, 1999 An Abelian group is pseudofree of rank ℓ if it belongs to the extended genus of ℤℓ, i.e., its localization at every prime p is isomorphic to ℤpℓ.
Dirk Scevenels
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On the Existence of κ-Free Abelian Groups [PDF]
Proceedings of the American Mathematical Society, 1975 It is proved that if ℵ α {\aleph _\alpha } is a regular cardinal such that there is an ℵ α {\aleph _\alpha } -free abelian group which is not ℵ α + 1 {\aleph ...
openaire +1 more source
Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley +1 more source
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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Arithmetic Sets in Groups [PDF]
, 2014 We define a notion of an arithmetic set in an arbitrary countable group and study properties of these sets in the cases of Abelian groups and non-abelian free ...
Akhmedov, Azer, Fulghesu, Damiano
core
Limit groups and groups acting freely on R^n-trees
, 2004 We give a simple proof of the finite presentation of Sela's limit groups by using free actions on R^n-trees. We first prove that Sela's limit groups do have a free action on an R^n-tree.
Bass +13 more
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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
openaire +2 more sources
Signed Projective Cubes, a Homomorphism Point of View
Journal of Graph Theory, EarlyView.ABSTRACT The (signed) projective cubes, as a special class of graphs closely related to the hypercubes, are on the crossroad of geometry, algebra, discrete mathematics and linear algebra. Defined as Cayley graphs on binary groups, they represent basic linear dependencies.
Meirun Chen +2 more
wiley +1 more source
Exploring strong Gelfand pairs in wreath products of specific finite groups [PDF]
مجلة جامعة الانبار للعلوم الصرفةA strong Gelfand pair (𝐺, 𝐻) consists of a group 𝐺 and its subgroup 𝐻, characterized by the property that the induced representation Ind 𝑑 𝐺 𝐻 of the permutation representation associated with the action of 𝐺 on the set of cosets 𝐺𝐻 is multiplicity-free.
Saad Bedaiwi
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