Results 51 to 60 of about 49,915 (165)
Which finitely generated Abelian groups admit isomorphic Cayley graphs? [PDF]
Geometriae Dedicata, 2012 We show that Cayley graphs of finitely generated Abelian groups are rather rigid. As a consequence we obtain that two finitely generated Abelian groups admit isomorphic Cayley graphs if and only if they have the same rank and their torsion parts have the same cardinality.
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The coarse classification of countable abelian groups [PDF]
, 2008 We prove that two countable locally finite-by-abelian groups G,H endowed with proper left-invariant metrics are coarsely equivalent if and only if their asymptotic dimensions coincide and the groups are either both finitely-generated or both are ...
Banakh, T., Higes, J., Zarichinyy, I.
core
Polymatroidal tilings and the Chow class of linked projective spaces
Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.Abstract Linked projective spaces are quiver Grassmannians of constant dimension one of certain quiver representations, called linked nets, over certain quivers, called Zn$\mathbb {Z}^n$‐quivers. They were recently introduced as a tool for describing schematic limits of families of divisors.
Felipe de Leon, Eduardo Esteves
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The fundamental group of the complement of a generic fiber‐type curve
Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.Abstract In this paper, we describe and characterize the fundamental group of the complement of generic fiber‐type curves, that is, unions of (the closure of) finitely many generic fibers of a component‐free pencil F=[f:g]:CP2⤍CP1$F=[f:g]:\mathbb {C}\mathbb {P}^2\dashrightarrow \mathbb {C}\mathbb {P}^1$.
José I. Cogolludo‐Agustín +1 more
wiley +1 more source
Finding product sets in some classes of amenable groups
Forum of Mathematics, SigmaIn [15], using methods from ergodic theory, a longstanding conjecture of Erdős (see [5, Page 305]) about sumsets in large subsets of the natural numbers was resolved.
Dimitrios Charamaras, Andreas Mountakis
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Which singular tangent bundles are isomorphic?
Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.Abstract Logarithmic and b$ b$‐tangent bundles provide a versatile framework for addressing singularities in geometry. Introduced by Deligne and Melrose, these modified bundles resolve singularities by reframing singular vector fields as well‐behaved sections of these singular bundles.
Eva Miranda, Pablo Nicolás
wiley +1 more source
Fitting quotients of finitely presented abelian-by-nilpotent groups [PDF]
, 2017 We show that every finitely generated nilpotent group of class 2 occurs as the quotient of a finitely presented abelian-by-nilpotent group by its largest nilpotent normal ...
Groves, J. R. J., Strebel, Ralph
core
Modules With Epimorphisms Between Their Submodules
Journal of MathematicsAn R-module M is called weakly uniserial if its submodules are comparable regarding embedding, i.e., if for any two submodules N, K of M, HomRN,K or HomRK,N contains an injective element.
P. Karimi Beiranvand
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Electric‐Current‐Assisted Nucleation of Zero‐Field Hopfion Rings
Advanced Materials, Volume 38, Issue 21, 13 April 2026.This work reports a novel and efficient nucleation protocol for 3D localized topological magnetic solitons‐hopfion rings in chiral magnets using pulsed electric currents. By using Lorentz transmission electron microscopy and topological analysis, we report characteristic features and extraordinary stability of hopfion rings in zero or inverted external
Xiaowen Chen +12 more
wiley +1 more source
Abelian Varieties and Finitely Generated Galois Groups
, 2019 This paper surveys the methods that have been used to attack the conjecture, still open, that an abelian variety over a characteristic $0$ field with finitely generated Galois group is always of infinite rank.
Im, Bo-Hae, Larsen, Michael
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