University of Birmingham > Talks@bham > Birmingham and Warwick Algebra Seminar  > Saturated fusion Systems on a Sylow $p$-subgroup of a rank 2 Lie Type Group

Saturated fusion Systems on a Sylow $p$-subgroup of a rank 2 Lie Type Group

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Saturated fusion systems are a means to capture and abstract the conjugacy present in Sylow p-subgroups of finite groups. After a gentle introduction to the theory of fusion systems and their applications, we will provide a general methodology for treating fusion systems on Sylow 2-subgroups of rank 2 groups of Lie type. As an application, we classify all saturated fusion systems on a Sylow p-subgroup of G_2(pn) and U_4(pn) for all primes p.

This talk is part of the Birmingham and Warwick Algebra Seminar series.

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