Details
| Original language | English |
|---|---|
| Pages (from-to) | 308-350 |
| Number of pages | 43 |
| Journal | Journal of Algebra |
| Volume | 598 |
| Early online date | 10 Feb 2022 |
| Publication status | Published - 15 May 2022 |
Abstract
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.
Keywords
- Block theory, Character theory, Special linear group, Species tables, Trivial source modules, p-permutation modules
ASJC Scopus subject areas
- Mathematics(all)
- Algebra and Number Theory
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In: Journal of Algebra, Vol. 598, 15.05.2022, p. 308-350.
Research output: Contribution to journal › Article › Research › peer review
}
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 -