Tuesday 13 May 2025 at 4:30 pm, as part of the Insalate di Matematica seminar cycle, Fabio Mastrogiacomo (University of Milano-Bicocca) will give the following talk
Title: Bases of permutation groups
Abstract: Let G be a permutation group acting on a set Ω. A base for G is a sequence of points in Ω whose pointwise stabilizer is trivial—that is, no non-identity element of G fixes all the points in the sequence. In general, a permutation group may have bases of varying sizes. This talk will explore how these base sizes behave: do they always form an interval of natural numbers? Can the set of possible base sizes be arbitrarily large or sparse? We will see that the answers to these questions depend on two different notions of bases: minimal bases and irredundant bases.
Keywords: Permutation groups, Irredundant bases, Minimal bases
Information to attend
The seminar will be held in Room 3014 (3rd Floor) - U5 Building, University of Milano-Bicocca and will also be available online by this link (password: insalate, 46725283 from phones)
For more information, visit the website