Seminari Al@Bicocca: Victor Ortiz Sotomayor

Finite groups and their multisets of class sizes and character degrees
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algebra in bicocca

Lunedì 26 Maggio 2025 alle ore 11:00, nel quadro del ciclo di seminari Al@Bicocca, Victor Ortiz Sotomayor (Università Politecnica di Valencia) terrà il seguente intervento

Titolo: 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.

Informazioni per partecipare

Il seminario si terrà in Aula 3014 (3° Piano) - Edificio U5, Università degli Studi di Milano-Bicocca e sarà possibile partecipare anche online da questo link

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