Results 81 to 90 of about 34,296 (212)

On the Terwilliger Algebra of the Group Association Scheme of the Symmetric Group Sym ( 7 )

open access: yesJournal of Combinatorial Designs, Volume 33, Issue 7, Page 261-274, July 2025.
ABSTRACT Terwilliger algebras are finite‐dimensional semisimple algebras that were first introduced by Paul Terwilliger in 1992 in studies of association schemes and distance‐regular graphs. The Terwilliger algebras of the conjugacy class association schemes of the symmetric groups Sym ( n ), for 3 ≤ n ≤ 6, have been studied and completely determined ...
Allen Herman   +2 more
wiley   +1 more source

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

open access: yesAdvances 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

Specializations of finitely generated subgroups of abelian varieties

open access: yes, 1989
Given a generic Mordell-Weil group over a function field, we can specialize it down to a number field. It has been known for some time that the resulting homomorphism of groups is injective "infinitely often".
Abelian Varieties, D. Masser
semanticscholar   +1 more source

A finitely presented metabelian group with a free abelian derived group of infinite rank

open access: yes, 1972
An example is given of a 3-generator, 3-relator group whose derived group is a free abelian group of infinite rank. 1. Very little is known about the normal subgroup structure of finitely presented groups.
G. Baumslag
semanticscholar   +1 more source

Uniform finite presentation for groups of polynomial growth

open access: yesDiscrete 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

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

open access: yesDiscrete 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

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