Quadratische Formen in additiven Kategorien
Quasigroup automorphisms and symmetric group characters
The automorphisms of a quasigroup or Latin square are permutations of the set of entries of the square, and thus belong to conjugacy classes in symmetric groups. These conjugacy classes may be recognized as being annihilated by symmetric group class functions that belong to a -ideal of the special -ring of symmetric group class functions.
Quasi-symmetry and representation theory
Quillen Stratification for Modules.
Quotient curves of the Suzuki curve
Quotients infinitésimaux du groupe de tresses
Nous définissons et entamons l’étude d’analogues infinitésimaux des quotients principaux (algèbres de Temperley-Lieb, Hecke, Birman-Wenzl-Murakami) de l’algèbre de groupe du groupe d’Artin . Ce sont des algèbres de Hopf qui correspondent à des groupes réductifs, et permettent de donner un cadre général aux représentations dérivées des représentations classiques de . Nous décomposons complètement l’algèbre de Temperley-Lieb infinitésimale, et en déduisons plusieurs résultats d’irréductibilité.
Radicals of semi-group rings
Radicals of symmetric cellular algebras
For a symmetric cellular algebra, we study properties of the dual basis of a cellular basis first. Then a nilpotent ideal is constructed. The ideal connects the radicals of cell modules with the radical of the algebra. It also yields some information on the dimensions of simple modules. As a by-product, we obtain some equivalent conditions for a finite-dimensional symmetric cellular algebra to be semisimple.
Random Cayley graphs are expanders: a simple proof of the Alon-Roichman theorem.
Rational Functions Invariant under a Finite Abelian Group.
Rational Representations of Finite Groups and Their Euler Class.
Realisierbarkeit von Darstellungen endlicher Gruppen in Einheitswurzelkörpern.
Realizing maps between modules over Tate cohomology rings.
Recent results on the derived length of Lie solvable group algebras.
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...
Reduced unstable -modules and the modular representation theory of the symmetric groups
Regular character tables of symmetric groups.
Regular Orbits fo Hall ...-subgroups.
Regularisation and the Mullineux map.