Trivial source character tables of Frobenius groups of type $(C_p \times C_p) \rtimes H$
- Resource Type
- Working Paper
- Authors
- Boehmler, Bernhard; Lassueur, Caroline
- Source
- Subject
- Mathematics - Representation Theory
Mathematics - Group Theory
20C15, 20C20
- Language
Let $p$ be a prime number. We compute 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 all infinite families of such groups which occur in the two extremal cases for the fusion of $p$-subgroups: the case in which there exists exactly one $G$-conjugacy class of non-trivial cyclic $p$-subgroups, and the case in which there exist exactly $p+1$ distinct $G$-conjugacy classes of non-trivial cyclic $p$-subgroups.
Comment: Correction to Proposition 3.7