
Friday 6 September 2024 at 11 am, as part of the Al@Bicocca seminar cycle, Hongyi Huang (University of Bristol) will talk about
Title: Basis for permutation groups
Abstract: Let G be a permutation group on a finite set Ω. A base for G is a subset of Ω with trivial pointwise stabiliser, and the base size of G, denoted b(G), is the minimal size of a base for G. This classical concept has been studied since the early years of permutation group theory in the nineteenth century, finding a wide range of applications. Recall that G is called primitive if it is transitive and its point stabilizer is a maximal subgroup. Primitive groups can be viewed as the basic building blocks of all finite permutation groups, and much work has been done in recent years in bounding or determining the base sizes of primitive groups. In this talk, I will report on recent progress of this study. In particular, I will give the first family of primitive groups arising in the O’Nan-Scott theorem for which the exact base size has been computed in all cases
Information to attend in presence:
The seminar will be held in Room 3014 (3rd Floor) - U5 Building, University of Milano-Bicocca
Information to attend online:
Visit the page https://unimib.webex.com/unimib/j.php?MTID=m9a859340bcb2ac0d293f63f8e8162b4f