TY - JOUR
T1 - Trivial source character tables of SL2(q)
AU - Böhmler, Bernhard
AU - Farrell, Niamh
AU - Lassueur, Caroline
N1 - Funding Information:
The authors gratefully acknowledge financial support by DFG SFB-TRR 195 ‘Symbolic Tools in Mathematics and their Application’. The present article started as part of the Project A18 thereof.
PY - 2022/5/15
Y1 - 2022/5/15
N2 - We compute the trivial source character tables (also called species tables of the trivial source ring) of the infinite family of finite groups SL2(q) over a large enough field k of positive characteristic ℓ via character-theoretical methods in the cases in which q is odd, ℓ|(q±1) when ℓ is odd, and q≡±3(mod8) when ℓ=2.
AB - We compute the trivial source character tables (also called species tables of the trivial source ring) of the infinite family of finite groups SL2(q) over a large enough field k of positive characteristic ℓ via character-theoretical methods in the cases in which q is odd, ℓ|(q±1) when ℓ is odd, and q≡±3(mod8) when ℓ=2.
KW - Block theory
KW - Character theory
KW - Special linear group
KW - Species tables
KW - Trivial source modules
KW - p-permutation modules
UR - http://www.scopus.com/inward/record.url?scp=85124295210&partnerID=8YFLogxK
U2 - 10.1016/j.jalgebra.2022.01.024
DO - 10.1016/j.jalgebra.2022.01.024
M3 - Article
AN - SCOPUS:85124295210
VL - 598
SP - 308
EP - 350
JO - Journal of Algebra
JF - Journal of Algebra
SN - 0021-8693
ER -