Results 1 to 10 of about 166,635,338 (114)

Finite cyclic group of p-power order and its compatibility conditions

Data Analytics and Applied Mathematics, 2023
Finite cyclic groups of p-power order, where p represents a prime number, have long been an interesting field of study in abstract algebra. This paper investigates the compatibility conditions that control their existence and behaviour.
Fatin Hanani Hasan, Mohd Sham Mohamad, Yuhani Yusof, Nor Amirah Mohd Busul Aklan   +3 more
doaj   +1 more source

On the additive image of zeroth persistent homology

Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.
Abstract For a category X$X$ and a finite field F$F$, we study the additive image of the functor H0(−;F)∗:rep(X,Top)→rep(X,VectF)$\operatorname{H}_0(-;F)_* \colon \operatorname{rep}(X, \mathbf {Top}) \rightarrow \operatorname{rep}(X, \mathbf {Vect}_F)$, or equivalently, of the free functor rep(X,Set)→rep(X,VectF)$\operatorname{rep}(X, \mathbf {Set ...
Ulrich Bauer, Magnus B. Botnan, Steffen Oppermann, Johan Steen   +3 more
wiley   +1 more source

Tracking the symmetries of ℤ 3-orbifold K3s within the Mathieu groups

Journal of High Energy Physics
For ℤ 3-orbifold limits of K3, we provide a counterpart to the extensive studies by Nikulin and others of the geometry and symmetries of classical Kummer surfaces.
Kasia Budzik, Anne Taormina, Mara Ungureanu, Katrin Wendland, Ida G. Zadeh   +4 more
doaj   +1 more source

Rational points on even‐dimensional Fermat cubics

Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.
Abstract We show that even‐dimensional Fermat cubic hypersurfaces are rational over any field of characteristic not equal to three, by constructing explicit rational parameterizations with polynomials of low degree. As a byproduct of our rationality constructions, we obtain estimates for the number of their rational points over a number field and ...
Alex Massarenti
wiley   +1 more source

On the automorphisms of the power semigroups of a numerical semigroup

Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.
Abstract If H$H$ is a numerical semigroup (i.e., a cofinite subset of the non‐negative integers closed under addition), then the collection of all non‐empty subsets of H$H$ forms a semigroup P(H)$\mathcal {P}(H)$ under the sumset operation induced by addition in H$H$.
Salvatore Tringali, Kerou Wen
wiley   +1 more source

Context‐free graphs and their transition groups

Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.
Abstract Starting from context‐free inverse graphs, we introduce a new class of groups and study their structural properties. We establish closure properties, show that their coword problems are context‐free, analyze torsion elements, and realize them as subgroups of the asynchronous rational group.
Daniele D'Angeli, Francesco Matucci, Davide Perego, Emanuele Rodaro   +3 more
wiley   +1 more source

A Coarse Geometric Approach to Graph Layout Problems

Journal of Graph Theory, Volume 113, Issue 2, Page 169-194, October 2026.
ABSTRACT We define a range of new coarse geometric invariants based on various graph–theoretic measures of complexity for finite graphs, including treewidth, pathwidth, cutwidth and bandwidth. We prove that, for bounded degree graphs, these invariants can be used to define functions which satisfy a strong monotonicity property, namely, they are ...
Wanying Huang, David Hume, Samuel J. Kelly, Ryan Lam   +3 more
wiley   +1 more source

Abelian number fields with frobenian conditions

Mathematika, Volume 72, Issue 4, October 2026.
Abstract We study the distribution of abelian number fields with frobenian conditions imposed on the conductor. In particular, we find an asymptotic for the number of abelian field extensions of a number field k$k$ whose conductor is the sum of two squares. We also discuss an application of the Brauer group of stacks to quadratic number fields.
Julie Tavernier
wiley   +1 more source

Approximate Itai–Zehavi Conjecture for Random Graphs

Random Structures &Algorithms, Volume 69, Issue 2, September 2026.
ABSTRACT A famous conjecture by Itai and Zehavi states that, for every d$$ d $$‐vertex‐connected graph G$$ G $$ and every vertex r$$ r $$ in G$$ G $$, there are d$$ d $$ spanning trees of G$$ G $$ such that, for every vertex v$$ v $$ in G∖{r}$$ G\setminus \left\{r\right\} $$, the paths between r$$ r $$ and v$$ v $$ in different trees are internally ...
Lawrence Hollom, Lyuben Lichev, Adva Mond, Julien Portier, Yiting Wang   +4 more
wiley   +1 more source

Acylindrical visual splittings and the Tits alternative for Artin groups

Bulletin of the London Mathematical Society, Volume 58, Issue 9, September 2026.
Abstract We give a necessary and sufficient condition on a visual splitting of an Artin group satisfying the conclusions of two well‐known conjectures to be acylindrical, and demonstrate how this can be used to provide a large class of novel examples of Artin groups that satisfy the Tits alternative.
William D. Cohen
wiley   +1 more source