PRIN 2022

IT Finanziato dall'Unione europea_BLUE_GREYLOGO_MUR Socialitalia-domani-tracciato

– Group Theory and Applications –

The aim of this project is to perform research activities in the area of Group Theory and its applications. The members of the five Research Units involved (Firenze, Milano-Bicocca, Napoli, Padova and Salerno) have diverse and complementary research interests and skills. Exploiting the mixture of techniques and the composite mathematical insight at our disposal, we intend to approach some of the most important open problems in this fascinating area of Mathematics. In particular, we plan to attack some famous long-standing conjectures lying at the center of the modern Representation Theory of Finite Groups. Moreover, we intend to advance in the knowledge on Generating Properties in both finite and infinite groups. Finally we will be focusing on the study of Words and Verbal Subgroups, with the goal of answering some  open questions posed by P. Hall more than sixty years ago.


Research Units

  1. Università degli Studi di Firenze – Algebra al Dini
  2. Università degli Studi di Milano Bicocca – Al@Bicocca
  3. Università degli Studi di Napoli Federico II – AGTA Napoli
  4. Università degli Studi di Padova – Group Theory in Padova
  5. Università degli Studi di Salerno – Algebra a UNISA.


Activities

10 – 13 September 2024: Topics in Group Theory – on the occasion of Andrea Lucchini 60th(+) Birthday (Conference Webpage)

1 – 3 July 2024: Group Theory in Florence IV (Conference Webpage)

17 – 21 June 2024: Groups and Algebras in Bicocca for Young Algebraists (Conference Webpage)

8 – 13 April 2024: Ischia Group Theory 2024 (Conference Webpage)