Characterisation of finitely generated soluble finite-by-nilpotent groups
Characterisation of Some Steiner Systems, Parallelisms, and Biplanes.
Characterisations of extremly amenable semigroups.
Characterisations of Some ...-Transitive Groups.
Characteristic of M-polysymmetrical Hyperrings and some properties of M-Polysymmetrical Hyperrings with Unity
Characterization by intersection graph of some families of finite nonsimple groups
For a finite group , , the intersection graph of , is a simple graph whose vertices are all nontrivial proper subgroups of and two distinct vertices and are adjacent when . In this paper, we classify all finite nonsimple groups whose intersection graphs have a leaf and also we discuss the characterizability of them using their intersection graphs.
Characterization of a radical of group rings over finite prime fields.
Characterization of abelian-by-cyclic 3-rewritable groups
Characterization of bands satisfying no non-trivial identity.
Characterization of Chernikov groups in the class of Shunkov groups with Sylow four-subgroups.
Characterization of finite groups by their commuting graph.
Characterization of matrix types of ultramatricial algebras.
Characterization of monoids by condition (P) of cyclic left acts.
Characterization of power digraphs modulo
A power digraph modulo , denoted by , is a directed graph with as the set of vertices and as the edge set, where and are any positive integers. In this paper we find necessary and sufficient conditions on and such that the digraph has at least one isolated fixed point. We also establish necessary and sufficient conditions on and such that the digraph contains exactly two components. The primality of Fermat number is also discussed.
Characterization of -solvable groups.
Characterization of by its non-commuting graph.
Characterization of the alternating groups by their order and one conjugacy class length
Let be a finite group, and let be the set of conjugacy class sizes of . By Thompson’s conjecture, if is a finite non-abelian simple group, is a finite group with a trivial center, and , then and are isomorphic. Recently, Chen et al. contributed interestingly to Thompson’s conjecture under a weak condition. They only used the group order and one or two special conjugacy class sizes of simple groups and characterized successfully sporadic simple groups (see Li’s PhD dissertation). In...
Characterization of the automorphisms having the lifting property in the category of Abelian -groups.
Characterization of the automorphisms of an Abelian group having the extension property. (Caractérisation des automorphismes d'un groupe abélien ayant la propriété de l'extension.)
Characterization of the inessential endomorphisms in the category of Abelian group.
An endomorphism f of an Abelian group A is said to be inessentia! (in the category of Abelian groups) if it can be extended to an endomorphism of any Abelian group which contains A as a subgroup. In this paper we show that f is as above if and only if (f - v idA)(A) is contained in the rnaximal divisible subgroup of A for some v belonging to Z.