Trivial source character tables of Frobenius groups of type (Cp×Cp)⋊H

authored by

Caroline Lassueur, Bernhard Karl Böhmler

Abstract

Let p be a prime number. We compute the trivial source character tables Triv_p(G) of finite Frobenius groups G with an abelian Frobenius complement H and an elementary abelian Frobenius kernel of order p2. 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.

Organisation(s)

Institute of Algebra, Number Theory and Discrete Mathematics

Type

Preprint

No. of pages

28

Publication date

21.03.2024

Publication status

E-pub ahead of print

Electronic version(s)

https://doi.org/10.48550/arXiv.2403.14571 (Access: Open)