Results 51 to 60 of about 120,594 (244)

Arithmetic Sets in Groups [PDF]

open access: yes, 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  

An extended definition of Anosov representation for relatively hyperbolic groups

open access: yesJournal of Topology, Volume 19, Issue 2, June 2026.
Abstract We define a new family of discrete representations of relatively hyperbolic groups which unifies many existing definitions and examples of geometrically finite behavior in higher rank. The definition includes the relative Anosov representations defined by Kapovich–Leeb and Zhu, and Zhu–Zimmer, as well as holonomy representations of various ...
Theodore Weisman
wiley   +1 more source

More Abelian groups with free duals [PDF]

open access: yesPortugaliae Mathematica, 2012
In answer to a question of A. Blass, J. Irwin and G. Schlitt, a subgroup G of the additive group \mathbb{Z}^\omega is constructed whose dual, Hom
openaire   +5 more sources

On free products of finite abelian groups [PDF]

open access: yesProceedings of the American Mathematical Society, 1972
The purpose of this note is to show that if G is the free product of finitely many, finite abelian groups then the commutator subgroup is a finitely generated free group whose rank depends only on the number and orders of the factors. Moreover, we shall present a constructive procedure for obtaining a basis of this free group using the Kurosh rewriting
Anshel, Michael, Prener, Robert
openaire   +2 more sources

What If Each Voxel Were Measured With a Different Diffusion Protocol?

open access: yesMagnetic Resonance in Medicine, Volume 95, Issue 4, Page 2277-2290, April 2026.
ABSTRACT Purpose Expansion of diffusion MRI (dMRI) both into the realm of strong gradients and into accessible imaging with portable low‐field devices brings about the challenge of gradient nonlinearities. Spatial variations of the diffusion gradients make diffusion weightings and directions non‐uniform across the field of view, and deform perfect ...
Santiago Coelho   +7 more
wiley   +1 more source

Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the String‐Theoretical Swampland Programme

open access: yesFortschritte der Physik, Volume 74, Issue 4, April 2026.
Abstract String theory has strong implications for cosmology, implying the absence of a cosmological constant, ruling out single‐field slow‐roll inflation, and that black holes decay. The origins of these statements are elucidated within the string‐theoretical swampland programme.
Kay Lehnert
wiley   +1 more source

On decomposable pseudofree groups

open access: yesInternational 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
doaj   +1 more source

Separable torsion-free abelian E∗-groups

open access: yesJournal of Pure and Applied Algebra, 1998
The first half of this paper characterizes the torsion-free separable abelian groups \(G\) whose endomorphism semigroup \(E(G)^*\) admits a unique addition; that is, the endomorphism ring \(E(G)\) is isomorphic to any ring \(S\) for which \(E(G)^*\) is isomorphic to \(S^*\).
Lubimcev, O.   +2 more
openaire   +1 more source

A Miyaoka–Yau inequality for hyperplane arrangements in CPn$\mathbb {CP}^n$

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 4, April 2026.
Abstract Let H$\mathcal {H}$ be a hyperplane arrangement in CPn$\mathbb {CP}^n$. We define a quadratic form Q$Q$ on RH$\mathbb {R}^{\mathcal {H}}$ that is entirely determined by the intersection poset of H$\mathcal {H}$. Using the Bogomolov–Gieseker inequality for parabolic bundles, we show that if a∈RH$\mathbf {a}\in \mathbb {R}^{\mathcal {H}}$ is ...
Martin de Borbon, Dmitri Panov
wiley   +1 more source

The character of free topological groups II

open access: yesApplied General Topology, 2005
A systematic analysis is made of the character of the free and free abelian topological groups on metrizable spaces and compact spaces, and on certain other closely related spaces.
Peter Nickolas, Mikhail Tkachenko
doaj   +1 more source

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