Symmetric and permutational generating set of the groups and using and an element of order .
Symmetric generating set of the groups and using and an element of order two.
Symmetric groups and expanders.
The average order of a permutation.
The commutativity relation in the symmetric semigroup.
The distribution of eigenvalues of randomized permutation matrices
In this article we study in detail a family of random matrix ensembles which are obtained from random permutations matrices (chosen at random according to the Ewens measure of parameter ) by replacing the entries equal to one by more general non-vanishing complex random variables. For these ensembles, in contrast with more classical models as the Gaussian Unitary Ensemble, or the Circular Unitary Ensemble, the eigenvalues can be very explicitly computed by using the cycle structure of the permutations....
The Factorisation of the Alternating and Symmetric Groups.
The homomorphic images of infinite symmetric groups.
The inner product of -functions
The Milgram non-operad
C. Berger claimed to have constructed an -operad-structure on the permutohedras, whose associated monad is exactly the Milgram model for the free loop spaces. In this paper I will show that this statement is not correct.
The symmetric group of degree six can be covered by 13 and no fewer proper subgroups.
Über den Untergruppenverband der symmetrischen Gruppe, den Unterhalbgruppenver-band der symmetrischen Halbgruppe und den Unter-algebrenverband der Postchen Algebra.
Über die Grässe des Radikals in Gruppenringen über der symmetrischen Gruppe.
Vector-valued Jack polynomials from scratch.
Zur Unauflösbarkeit der symmetrischen Gruppe Sn (n>4).
О кососимметричных элементах в групповой алгебре симметрической группы.
О предельном распределении числа решений уравнения a в симметрической группе
О предельном распределении числа циклов и логарифма порядка одного класса подстановок
О стационарной подгруппе нильпотентной группы подстановок
О числе и цикловой структуре подстановок некоторых классов