Frobenius groups
- đ¤ Speaker: Anton Evseev
- đ Date & Time: Wednesday 30 January 2008, 14:00 - 15:00
- đ Venue: MR4, CMS, Wilberforce Road, Cambridge, CB3 0WB
Abstract
A Frobenius group is a transitive permutation group in which only the identity fixes two points. Finite Frobenius groups have a remarkable property: the elements that fix no points together with the identity form a normal subgroup. I will explain the proof of this classical result, which, I believe, is a convincing illustration of the power of character theory. If time allows, I will go on discuss deeper structural properties of these groups.
Series This talk is part of the Junior Algebra and Number Theory seminar series.
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Wednesday 30 January 2008, 14:00-15:00