Nikolaus Conference 2023

Speaker: Bernhard Böhmler (Hannover)

Title: Trivial Source Characters in Domestic Representation Type


In this talk, we consider trivial source modules belonging to blocks whose defect groups are isomorphic to a Klein four-group. We present a method which allows us to determine their ordinary characters. This is used in order to compute the trivial source character tables of the groups \(\textrm{PSL}_2(11)\) and \(\textrm{PSL}_2(13)\) in characteristic \(2\), and more generally for the groups \(\textrm{PSL}_2(q)\) and \(\textrm{SL}_2(q)\) when \(q \equiv \pm 3 (\textrm{mod } 8)\).

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