Monday 26 May 2025 at 11 am, as part of the Al@Bicocca seminar cycle, Victor Ortiz Sotomayor (Polytechnic University of Valencia) will give the following talk
Title: Finite groups and their multisets of class sizes and character degrees
Abstract: The set of conjugacy class sizes of a finite group encodes significant structural information, although certain properties —such as nilpotency, solubility, or even the group order— remain undetectable when considering this set alone. A more refined invariant arises by viewing the conjugacy class sizes as a multiset, i.e. incorporating the frequency of each class size. In this seminar, we will survey results concerning how this additional data determines certain structural features. Particular emphasis will be placed on recent progress and on analogies with the multiplicities of irreducible characters degrees.
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
For more information, visit the website