## 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 SL_{2}(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**

## Cite this

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**Trivial source character tables of SL**/ Böhmler, Bernhard; Farrell, Niamh; Lassueur, Caroline.

_{2}(q).In: Journal of Algebra, Vol. 598, 15.05.2022, p. 308-350.

Research output: Contribution to journal › Article › Research › peer review

_{2}(q)',

*Journal of Algebra*, vol. 598, pp. 308-350. https://doi.org/10.1016/j.jalgebra.2022.01.024

_{2}(q).

*Journal of Algebra*,

*598*, 308-350. https://doi.org/10.1016/j.jalgebra.2022.01.024

_{2}(q). Journal of Algebra. 2022 May 15;598:308-350. Epub 2022 Feb 10. doi: 10.1016/j.jalgebra.2022.01.024

}

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 -