Trivial source character tables of , part II

Abstract

We compute the trivial source character tables (also called species tables of the trivial source ring) of the infinite family of finite groups $\operatorname{SL}_{2}(q)$ for q even over a large enough field of odd characteristics. This article is a continuation of our article Trivial Source Character Tables of $\operatorname{SL}_{2}(q)$ , where we considered, in particular, the case in which q is odd in non-defining characteristic.

Irreducible Characters with Cyclic Anchor Group

“…Our main methods to accomplish the results are block theory and character theory, which includes induction, restrictions, inner product of characters and orthogonality relations; see [1]. In fact, character theory is a vast area of research in group theory and generalizations; see [23][24][25][26]. Also, the Clifford theory is the main theorem to study character theory and p-blocks of finite groups, in fact, given a normal subgroup Q of a finite group G and θ ∈ Irr(Q).…”