Dr. Attila Maróti, Alfréd Rényi Institute of Mathematics, Budapesta, Ungaria: Normalizers of primitive permutation groups

In data de 18 ianuarie, ora 13, sala „pi” din cladirea Mathematica, va aveal loc conferinta invitata cu titlul:

Normalizers of primitive permutation groups

sustinuta de Dr. Attila Maróti, Alfréd Rényi Institute of Mathematics, Budapesta, Ungaria.

Abstract: Given a transitive permutation group G of degree n. We may consider the normalizer A of G in Sym(n) and ask how big can the index ∣A : G∣ be? The most difficult case is when G is a primitive group. In this situation it is shown that ∣A : G∣ is less than n unless n is 34, 54, 38, 58, or 316. We will also discuss other results of similar flavor for both permutation groups and linear groups. This is joint work with Robert M. Guralnick and László Pyber.