U četvrtak, 18.9.2025. u 12.15 sati u predavaonici O-027 Fakulteta za matematiku Sveučilišta u Rijeci, Radmile Matejčić 2, Rijeka, na Seminaru za konačnu matematiku održat će se predavanja:

Luke Morgan: The linear dimension of permutation groups

Abstract: From a linear group G acting on a vector space V we obtain transitive permutation representations of G, the orbits on vectors. One may ask to what extent these permutation representations determine the linear representation.  Conversely, given a transitive permutation group G, we may ask which linear representations of G yield an orbit of G on vectors that is equivalent to the permutation action of G. The `linear dimension’ of a permutation group G is the smallest dimension of such a linear representation. One can see this as the most efficient way to linearise the action of G. This was defined recently by D’Alconzo and Di Scala and is inspired by cryptographic questions. In this talk I will give some overview of the recent results and explain how this leads to fundamental and difficult questions in the representation theory of finite groups.

Manuel Gonzalez Regadera (University of Seville, Španjolska): Who holds the key? (Latin squares and their role in secret sharing schemes)

Pozivaju se članovi Seminara i svi zainteresirani.