Nikolaus Conference 2024

Speaker: Bernhard Böhmler (Hannover)

Title: Trivial Source Character Tables of Frobenius Groups of Type \((C_p \times C_p) \rtimes H\)

Abstract:

In this talk, we consider the trivial source character tables of finite Frobenius groups \(G\) with an abelian Frobenius complement \(H\) and an elementary abelian Frobenius kernel of order \(p^2\). More precisely, we deal with infinite families of such groups which occur in the two extremal cases for the fusion of \(p\)-subgroups. For isolated examples of finite Frobenius groups these results were obtained by algorithms which rely, in particular, on the MeatAxe algorithm, first introduced by Richard Parker.

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