Results 101 to 110 of about 68,261 (266)
Random Structures &Algorithms, Volume 67, Issue 4, December 2025.ABSTRACT A finite group G$$ G $$ is mixable if a product of random elements, each chosen independently from two options, can distribute uniformly on G$$ G $$. We present conditions and obstructions to mixability. We show that 2‐groups, the symmetric groups, the simple alternating groups, several matrix and sporadic simple groups, and most finite ...
Gideon Amir +3 more
wiley +1 more source
A note on the cohomology of moduli spaces of local shtukas
Bulletin of the London Mathematical Society, Volume 57, Issue 12, Page 3709-3729, December 2025.Abstract We study localized versions of spectral action of Fargues–Scholze, using methods from higher algebra. As our main motivation and application, we deduce a formula for the cohomology of moduli spaces of local shtukas under certain genericity assumptions, and discuss its relation with the Kottwitz conjecture.
David Hansen, Christian Johansson
wiley +1 more source
Set Reconstruction on the Hypercube
Discrete 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
A categorical interpretation of continuous orbit equivalence for partial dynamical systems
Bulletin of the London Mathematical Society, Volume 57, Issue 12, Page 3637-3656, December 2025.Abstract We define the orbit morphism of partial dynamical systems and prove that an orbit morphism being an isomorphism in the category of partial dynamical systems and orbit morphisms is equivalent to the existence of a continuous orbit equivalence between the given partial dynamical systems that preserves the essential stabilisers. We show that this
Gilles G. de Castro, Eun Ji Kang
wiley +1 more source
The third cohomology group classifies crossed module extensions
, 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
The shift‐homological spectrum and parametrising kernels of rank functions
Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.Abstract For any compactly generated triangulated category, we introduce two topological spaces, the shift spectrum and the shift‐homological spectrum. We use them to parametrise a family of thick subcategories of the compact objects, which we call radical.
Isaac Bird +2 more
wiley +1 more source
On $p$-groups with a maximal elementary abelian normal subgroup of rank $k$ [PDF]
, 2023 Zoltán Halasi +3 more
openalex +1 more source
Hom ω$\omega$‐categories of a computad are free
Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.Abstract We provide a new description of the hom functor on weak ω$\omega$‐categories, and show that it admits a left adjoint that we call the suspension functor. We then show that the hom functor preserves the property of being free on a computad, in contrast to the hom functor for strict ω$\omega$‐categories.
Thibaut Benjamin, Ioannis Markakis
wiley +1 more source
Strong subgroup chains and the Baer-Specker group
, 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
The m$m$‐step solvable anabelian geometry of mixed‐characteristic local fields
Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.Abstract Let K$K$ be a mixed‐characteristic local field. For an integer m⩾0$m \geqslant 0$, we denote by Km/K$K^m / K$ the maximal m$m$‐step solvable extension of K$K$, and by GKm$G_K^m$ the maximal m$m$‐step solvable quotient of the absolute Galois group GK$G_K$ of K$K$.
Seung‐Hyeon Hyeon
wiley +1 more source