Calcul du centralisateur d'un groupe de permutations
Cayley color graphs of inverse semigroups and groupoids
The notion of Cayley color graphs of groups is generalized to inverse semigroups and groupoids. The set of partial automorphisms of the Cayley color graph of an inverse semigroup or a groupoid is isomorphic to the original inverse semigroup or groupoid. The groupoid of color permuting partial automorphisms of the Cayley color graph of a transitive groupoid is isomorphic to the original groupoid.
Cayley's Theorem
The article formalizes the Cayley's theorem saying that every group G is isomorphic to a subgroup of the symmetric group on G.
Characterisation of Some Steiner Systems, Parallelisms, and Biplanes.
Characterisations of Some ...-Transitive Groups.
Characterizations based on length-biased weighted measure of inaccuracy for truncated random variables
In survival studies and life testing, the data are generally truncated. Recently, authors have studied a weighted version of Kerridge inaccuracy measure for truncated distributions. In the present paper we consider weighted residual and weighted past inaccuracy measure and study various aspects of their bounds. Characterizations of several important continuous distributions are provided based on weighted residual (past) inaccuracy measure.
Chohomological Aspects of Two-Graphs.
Circles in (B, N)-Groups.
Classification of Sn-normal semigroups.
Codes bipréfixes et groupes de permutations
Collineation group as a subgroup of the symmetric group
Let ψ be the projectivization (i.e., the set of one-dimensional vector subspaces) of a vector space of dimension ≥ 3 over a field. Let H be a closed (in the pointwise convergence topology) subgroup of the permutation group of the set ψ. Suppose that H contains the projective group and an arbitrary self-bijection of ψ transforming a triple of collinear points to a non-collinear triple. It is well known from [Kantor W.M., McDonough T.P., On the maximality of PSL(d+1,q), d ≥ 2, J. London Math. Soc.,...
Compactness conditions for semigroups of linear maps.
Completely 0-simple semigroups and their associated graphs and groups.
Concerning Abelian-Regular Transitive Triple Systems
Conditions of Finiteness on Sharply 2-Transitive Groups.
Congruence classes of orientable 2-cell embeddings of bouquets of circles and dipoles.
Conjugate homeomorphisms of the Rational World.
Constructing a maximal cofinitary group.
Constructing matrix geometric means.
Construction of finite -groups with prescribed group of noncentral automorphisms