Trivial Source Character Tables of SL2(q)

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Date
2022-01-28MFO Scientific Program
OWRF 2021Series
Oberwolfach Preprints;2022-02Author
Böhmler, Bernhard
Farrell, Niamh
Lassueur, Caroline
Metadata
Show full item recordOWP-2022-02
Abstract
We compute the trivial source character tables (also called species tables of the trivial source ring) of the infinite family of finite groups SL(2,q) over a large enough field of positive characteristic $\ell$ via character-theoretical methods in the cases in which $q$ is odd, $\ell \mid (q\pm1)$ when~$\ell$ is odd, and $q\equiv \pm 3\pmod{8}$ when $\ell=2$.