Rearrangements of the Symmetric Group and Enumerative Properties of the Tangent and Secant Numbers.
Receding polar regions of a spherical building and the center conjecture
We introduce the notion of a polar region of a spherical building and use some simple observations about polar regions to give elementary proofs of various fundamental properties of root groups. We combine some of these observations with results of Timmesfeld, Balser and Lytchak to give a new proof of the center conjecture for convex chamber subcomplexes of thick spherical buildings.
Recent developments in the theory of skew lattices.
Recent results on the derived length of Lie solvable group algebras.
Recherche des graphes des matrices de Coxeter hyperboliques d’ordre
Recherches sur les substitutions.
Rechtsdistributive Multiplikationen auf homogenen Räumen.
Rechtskomplementäre Halbgruppen, Axiome, Polynome, Kongruenzen.
Rechtsteilweise geordnete Gruppen
Reciprocity theorems for the classical goups. I: The GL (r, k)-subgroup of GL (2r, k).
Recognition by the set of element orders of symmetric groups of degree and for prime .
Recognition of alternating groups of prime degree from their element orders.
Recognition of characteristically simple group by character degree graph and order
The character degree graph of a finite group is the graph whose vertices are the prime divisors of the irreducible character degrees of and two vertices and are joined by an edge if divides some irreducible character degree of . It is proved that some simple groups are uniquely determined by their orders and their character degree graphs. But since the character degree graphs of the characteristically simple groups are complete, there are very narrow class of characteristically simple...
Recognition of some families of finite simple groups by order and set of orders of vanishing elements
Let be a finite group. An element is called a vanishing element if there exists an irreducible complex character of such that . Denote by the set of orders of vanishing elements of . Ghasemabadi, Iranmanesh, Mavadatpour (2015), in their paper presented the following conjecture: Let be a finite group and a finite nonabelian simple group such that and . Then . We answer in affirmative this conjecture for , where and either , or is a prime number, and , where and either...
Recognition of some linear groups over the binary field by the spectrum.
Recognition of the finite simple groups by the spectrum.
Recognition of the group from its spectrum.
Recognizability by spectrum of the group in the class of all groups.
Recognizability in the lattice of convex -subgroups of a lattice-ordered group
Recognizability of finite groups by Suzuki group
Let be a finite group. The main supergraph is a graph with vertex set in which two vertices and are adjacent if and only if or . In this paper, we will show that if and only if , where .