Results 71 to 80 of about 1,787 (195)
Wavelet Sets on Locally Compact Abelian Groups
پژوهشهای ریاضی, 2020 Introduction An orthonormal wavelet is a square-integrable function whose translates and dilates form an orthonormal basis for the Hilbert space . That is, given the unitary operators of translation for and dilation , we call an orthonormal wavelet if
Mehdi Rashidi-Kouchi
doaj
Hamiltonian decompositions of 4-regular Cayley graphs of infinite abelian groups. [PDF]
J Graph Theory, 2022 Erde J, Lehner F.
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Groups with a finite Busemann boundary are virtually cyclic
Bulletin of the London Mathematical Society, Volume 58, Issue 8, August 2026.Abstract This note is a continuation of the study of the relationship between the geometry of Cayley graphs and the size of its metric‐functional boundary. We show that if there exists a Cayley graph with finitely many Busemann points, then the underlying group is virtually cyclic.
Corentin Bodart +2 more
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On the Capability of Finite Abelian Pairs of Groups
Journal of Mathematical Extension, 2015 A group G is called capable if it is isomorphic to the group of inner automorphisms of some group H. The notion of capable groups was extended to capable pairs by G. Ellis, in 1996. Recently, a classification of capable pairs of finite abelian groups was
A. Hokmabadi, M. Afkanpour, S. Kayvanfar
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Certain Topological Indices of Non-Commuting Graphs for Finite Non-Abelian Groups. [PDF]
Molecules, 2022 Ali F +5 more
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Heights on ‘hybrid orbits’ in Shimura varieties
Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.Abstract We prove the ‘hybrid conjecture’ which is a common generalisation of the André–Oort conjecture and the André–Pink–Zannier conjecture, in the case of Shimura varieties of abelian type.
Rodolphe Richard, Andrei Yafaev
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Journal of Algebra, 2009 The paper deals with direct sum decompositions of reduced torsion-free Abelian groups \(G\) of finite rank. The main tool is the ring \(E=E(G)=\text{End}(G)/\mathcal N\text{End}(G)\) where \(\mathcal N\text{End}(G)\) denotes the nil radical of the endomorphism ring \(\text{End}(G)\).
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An EZ${\mathcal {E}\mathcal {Z}}$‐structure for the mapping class group
Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.Abstract We construct a boundary for the mapping class group Mod(S)${\rm Mod}(S)$ of a surface S$S$ of finite type. The action of Mod(S)${\rm Mod}(S)$ on this boundary is minimal, strongly proximal and topologically free. The boundary is the boundary of an EZ${\mathcal {E}\mathcal {Z}}$‐structure for Mod(S)${\rm Mod}(S)$.
Ursula Hamenstädt
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Factorizing profinite groups into two Abelian subgroups [PDF]
International Journal of Group Theory, 2013 We prove that the class of profinite groups $G$ that have a factorization $G=AB$with $A$ and $B$ abelian closed subgroups, is closed under taking strict projective limits.This is a generalization of a recent result by K.H.~Hofmann and F.G.~Russo.As an ...
Wolfgang Herfort
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The abelianization of hypercyclic groups
Central European Journal of Mathematics, 2007 It was shown in the literature that the Abelianization of a hypercentral group has a considerable influence on the structure of the group itself. Since hypercentral groups are hypercyclic groups, it is natural to ask whether the results obtained for hypercentral groups extend to hypercyclic groups. In the article under review, different aspects of this
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