5 papers
Minimal generation of finite simple groups of Lie type by regular unipotent elements
M. A. Pellegrini, A. E. Zalesski
We prove that every finite simple group of Lie type can be generated by three regular unipotent elements. In certain cases we show that two regular unipotents are sufficient to…
Fixed Point Free Actions of Group Elements in Linear Groups and Finite Group Representations
Alexandre Zalesski
This is an expository paper aimed to outline the current situation with problems related with the occurrence of eigenvalue of elements in linear groups and group representation…
Linear groups of alternating type containing non-scalar elements with all but one eigenvalues of multiplicity 1
Alexandre Zalesski
We determine the irreducible representations of alternating and symmetric groups and their universal central extensions that contain a non-scalar element with all but one eigenvalu…
On the conjugacy class exponent of the finite simple groups
Martino Garonzi, Christe Montijo, Alexandre Zalesski
The generalized order of an element of a group is the smallest positive integer such that there exist such that $g^{x_1} \ldots g^{x_k}=…
Irreducible representations of simple Lie algebras with maximum weight multiplicity 2
Alexandre Zalesski
We determine the irreducible representations of simple Lie algebras with maximum weight multiplicity 2.