Results 91 to 100 of about 83,213 (229)

Real models for the framed little n$n$‐disks operads

Journal of Topology, Volume 18, Issue 4, December 2025.
Abstract We study the action of the orthogonal group on the little n$n$‐disks operads. As an application we provide small models (over the reals) for the framed little n$n$‐disks operads. It follows in particular that the framed little n$n$‐disks operads are formal (over the reals) for n$n$ even and coformal for all n$n$.
Anton Khoroshkin, Thomas Willwacher
wiley   +1 more source

Commuting Pairs in Quasigroups

Journal of Combinatorial Designs, Volume 33, Issue 11, Page 418-427, November 2025.
ABSTRACT A quasigroup is a pair ( Q , ∗ ), where Q is a nonempty set and ∗ is a binary operation on Q such that for every ( a , b ) ∈ Q 2, there exists a unique ( x , y ) ∈ Q 2 such that a ∗ x = b = y ∗ a. Let ( Q , ∗ ) be a quasigroup. A pair ( x , y ) ∈ Q 2 is a commuting pair of ( Q , ∗ ) if x ∗ y = y ∗ x.
Jack Allsop, Ian M. Wanless
wiley   +1 more source

Palindromic Width of Finitely Generated Solvable Groups [PDF]

, 2014
We investigate the palindromic width of finitely generated solvable groups. We prove that every finitely generated 3-step solvable group has finite palindromic width.
V. Bardakov, Krishnendu Gongopadhyay
semanticscholar   +1 more source

On 3‐Designs From P G L ( 2 , q )

Journal of Combinatorial Designs, Volume 33, Issue 11, Page 428-432, November 2025.
ABSTRACT The group P G L ( 2 , q ) acts 3‐transitively on the projective line G F ( q ) ∪ { ∞ }. Thus, an orbit of its action on the k‐subsets of the projective line is the block set of a 3‐ ( q + 1 , k , λ ) design. We find the parameters of the designs formed by the orbit of a block of the form 〈 θ r 〉 or 〈 θ r 〉 ∪ { 0 }, where θ is a primitive ...
Paul Tricot
wiley   +1 more source

Abelian varieties and finitely generated Galois groups [PDF]

, 2021
Bo‐Hae Im, Michael Larsen
openalex   +1 more source

Boundary conditions and universal finite‐size scaling for the hierarchical |φ|4$|\varphi |^4$ model in dimensions 4 and higher

Communications on Pure and Applied Mathematics, Volume 78, Issue 10, Page 2001-2118, October 2025.
Abstract We analyse and clarify the finite‐size scaling of the weakly‐coupled hierarchical n$n$‐component |φ|4$|\varphi |^4$ model for all integers n≥1$n \ge 1$ in all dimensions d≥4$d\ge 4$, for both free and periodic boundary conditions. For d>4$d>4$, we prove that for a volume of size Rd$R^{d}$ with periodic boundary conditions the infinite‐volume ...
Emmanuel Michta, Jiwoon Park, Gordon Slade   +2 more
wiley   +1 more source

Uniform finite presentation for groups of polynomial growth

Discrete Analysis
Uniform finite presentation for groups of polynomial growth, Discrete Analysis 2025:1, 29 pp. Let $G$ be a finitely generated infinite group with generators $a_1,\dots,a_k$. The _ball of radius_ $r$ in $G$ is defined to be the set of all elements of $G$
Philip Easo, Tom Hutchcroft
doaj   +1 more source

Topological generators of abelian Lie groups and hypercyclic finitely generated abelian semigroups of matrices

Advances in Mathematics, 2012
In this paper we bring together results about the density of subsemigroups of abelian Lie groups, the minimal number of topological generators of abelian Lie groups and a result about actions of algebraic groups. We find the minimal number of generators of a finitely generated abelian semigroup or group of matrices with a dense or a somewhere dense ...
Abels, Herbert, Manoussos, Antonios
openaire   +4 more sources

Reconstructing a set from its subset sums: $2$-torsion-free groups

Discrete Analysis
A famous conjecture in graph theory, asked by Kelly (1957) and Ulam (1960) and now known as the reconstruction conjecture, states that every graph with $n\geq 3$ vertices is determined up to isomorphism by the multiset of induced subgraphs with $n-1 ...
Federico Glaudo, Noah Kravitz
doaj   +1 more source

Applications of Duality in the Theory of Finitely Generated Lattice-Ordered Abelian Groups [PDF]

, 1977
W. M. Beynon
openalex   +1 more source