Results 61 to 70 of about 72,032 (249)
Commuting Pairs in Quasigroups
Journal of Combinatorial Designs, EarlyView.ABSTRACT A quasigroup is a pair (Q,∗) $(Q,\ast )$, where Q $Q$ is a nonempty set and ∗ $\ast $ is a binary operation on Q $Q$ such that for every (a,b)∈Q2 $(a,b)\in {Q}^{2}$, there exists a unique (x,y)∈Q2 $(x,y)\in {Q}^{2}$ such that a∗x=b=y∗a $a\ast x=b=y\ast a$. Let (Q,∗) $(Q,\ast )$ be a quasigroup. A pair (x,y)∈Q2 $(x,y)\in {Q}^{2}$ is a commuting
Jack Allsop, Ian M. Wanless
wiley +1 more source
On Endomorphism Universality of Sparse Graph Classes
Journal of Graph Theory, EarlyView.ABSTRACT We show that every commutative idempotent monoid (a.k.a. lattice) is the endomorphism monoid of a subcubic graph. This solves a problem of Babai and Pultr and the degree bound is best‐possible. On the other hand, we show that no class excluding a minor can have all commutative idempotent monoids among its endomorphism monoids. As a by‐product,
Kolja Knauer, Gil Puig i Surroca
wiley +1 more source
On Skew Hadamard difference sets [PDF]
, 2010 In this paper we construct exponentionally many non-isomorphic skew Hadamard difference sets over an elementary abelian group of order $q^3$
Muzychuk, Mikhail
core
On Bipartite Biregular Large Graphs Derived From Difference Sets
Journal of Graph Theory, EarlyView.ABSTRACT A bipartite graph G = ( V , E ) $G=(V,E)$ with V = V 1 ∪ V 2 $V={V}_{1}\cup {V}_{2}$ is biregular if all the vertices of each stable set, V 1 ${V}_{1}$ and V 2 ${V}_{2}$, have the same degree, r $r$ and s $s$, respectively. This paper studies difference sets derived from both Abelian and non‐Abelian groups.
Gabriela Araujo‐Pardo +3 more
wiley +1 more source
On a group of the form $2^{11}:M_{24}$ [PDF]
AUT Journal of Mathematics and ComputingThe Conway group $Co_{1}$ is one of the $26$ sporadic simple groups. It is the largest of the three Conway groups with order $4157776806543360000=2^{21}.3^9.5^4.7^2.11.13.23$ and has $22$ conjugacy classes of maximal subgroups.
Vasco Mugala +2 more
doaj +1 more source
Actions of elementary Abelian p-groups
Topology, 1988 WE STUDY actions of elementary abelian p-groups (i.e. G = fi E/p, p prime), on manifolds or near-manifolds X (i.e. X is an n-manifold off of a singularity set of dimension
openaire +2 more sources
A Dichotomy Theorem for Γ ${\rm{\Gamma }}$‐Switchable H $H$‐Colouring on m $m$‐Edge‐Coloured Graphs
Journal of Graph Theory, EarlyView.ABSTRACT Let G $G$ be a graph in which each edge is assigned one of the colours 1,2,…,m $1,2,\ldots ,m$, and let Γ ${\rm{\Gamma }}$ be a subgroup of Sm ${S}_{m}$. The operation of switching at a vertex x $x$ of G $G$ with respect to an element π $\pi $ of Γ ${\rm{\Gamma }}$ permutes the colours of the edges incident with x $x$ according to π $\pi $. We
Richard Brewster +2 more
wiley +1 more source
Graph labelings in elementary abelian groups
Discrete Mathematics, 1998 AbstractLet p be an odd prime and let n ⩾ 1 be an integer. We show that if G is a directed graph without isolated vertices such that V(G)| ⩽ pn, then there exists an injective mapping ϕ from V(G) to the elementary abelian p-group of order pn such that ∑xϵV(C) ϕ(x) = 0 for every connected component C of G.
openaire +2 more sources
General infinitesimal variations of the Hodge structure of ample curves in surfaces
Mathematische Nachrichten, EarlyView.Abstract Given a smooth projective complex curve inside a smooth projective surface, one can ask how its Hodge structure varies when the curve moves inside the surface. In this paper, we develop a general theory to study the infinitesimal version of this question in the case of ample curves.
Víctor González‐Alonso, Sara Torelli
wiley +1 more source
Relation Between Groups with Basis Property and Groups with Exchange Property
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 A group G is called a group with basis property if there exists a basis (minimal generating set) for every subgroup H of G and every two bases are equivalent.
Khalaf Al Khalaf, Alkadhi Mohammed
doaj +1 more source