Results 121 to 130 of about 72,032 (249)

Absolutely continuous Furstenberg measures

open access: yesProceedings of the London Mathematical Society, Volume 131, Issue 1, July 2025.
Abstract In this paper, we provide a sufficient condition for a Furstenberg measure generated by a finitely supported measure to be absolutely continuous. Using this, we give completely explicit examples of absolutely continuous Furstenberg measures including examples which are generated by measures which are not symmetric.
Samuel Kittle
wiley   +1 more source

Helicity is a topological invariant of massless particles: C=−2h

open access: yesPhysical Review Research
There is an elementary but indispensable relationship between the topology and geometry of massive particles. The geometric spin s is related to the topological dimension of the internal space V by dimV=2s+1.
Eric Palmerduca, Hong Qin
doaj   +1 more source

Set Reconstruction on the Hypercube

open access: yesDiscrete Analysis, 2017
Set reconstruction on the hypercube, Discrete Analysis 2017:17, 10 pp. A well-known open problem in graph theory that goes back to the late 1950s is the so-called _reconstruction conjecture_.
Luke Pebody
doaj   +1 more source

On mathematical structures on pairwise comparisons matrices with coefficients in an abstract group arising from quantum gravity

open access: yesHeliyon, 2019
We describe the mathematical properties of pairwise comparisons matrices with coefficients in an arbitrary group. Inspired by the well-known mathematical structures of quantum gravity and lattice gauge theories in physics and by the application of this ...
Jean-Pierre Magnot
doaj  

Skew-morphisms of elementary abelian 𝑝-groups

open access: yesJournal of Group Theory
Abstract A skew-morphism of a finite group 𝐺 is a permutation 𝜎 on 𝐺 fixing the identity element, and for which there exists an integer-valued function 𝜋 on 𝐺 such that σ
Du, Shaofei   +3 more
openaire   +2 more sources

The third cohomology group classifies crossed module extensions

open access: yes, 2009
We give an elementary proof of the well-known fact that the third cohomology group H^3(G, M) of a group G with coefficients in an abelian G-module M is in bijection to the set Ext^2(G, M) of equivalence classes of crossed module extensions of G with M ...
Thomas, Sebastian
core  

Strong subgroup chains and the Baer-Specker group

open access: yes, 2008
Examples are given of non-elementary properties that are preserved under C-filtrations for various classes C of Abelian groups. The Baer-Specker group is never the union of a chain of proper subgroups with cotorsionfree quotients.
Kolman, Oren
core   +2 more sources

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