Exotic fusion systems

Add to your list(s) Download to your calendar using vCal

• Valentina Grazian (Università degli Studi di Padova )
• Tuesday 25 February 2020, 11:00-12:00
• Seminar Room 2, Newton Institute.

If you have a question about this talk, please contact INI IT.

This talk has been canceled/deleted

Fusion systems are structures that encode the properties of conjugation between p-subgroups of a group, for p any prime number. Given a finite group G, it is always possible to define the saturated fusion system realized by G on one of its Sylow p-subgroups S: this is the category where the objects are the subgroups of S and the morphisms are the restrictions of conjugation maps induced by the elements of G. However, not all saturated fusion systems can be realized in this way. When this is the case, we say that the fusion system is exotic. The understanding of the behavior of exotic fusion systems (in particular at odd primes) is still an important open problem. In this talk we will offer a new approach to the study of exotic fusion systems at odd primes. We will show that an important role is played by the fusion systems defined on p-groups of maximal nilpotency class and we will present new results concerning the classification of such fusion systems.

This talk is part of the Isaac Newton Institute Seminar Series series.

This talk is included in these lists:

This talk is not included in any other list

Note that ex-directory lists are not shown.