Trivial source character tables of SL2(q)

Bernhard Böhmler; Niamh Farrell; Caroline Lassueur

doi:10.1016/j.jalgebra.2022.01.024

Trivial source character tables of SL₂(q)

Bernhard Böhmler
, Niamh Farrell
, Caroline Lassueur^*

^*Korrespondierende*r Autor*in für diese Arbeit

Institut für Algebra, Zahlentheorie und Diskrete Mathematik

Technische Universität Kaiserslautern

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

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.

Originalsprache	Englisch
Seiten (von - bis)	308-350
Seitenumfang	43
Fachzeitschrift	Journal of Algebra
Jahrgang	598
Elektronisch veröffentlicht (E-Pub)	10 Feb. 2022
DOIs	https://doi.org/10.1016/j.jalgebra.2022.01.024
Publikationsstatus	Veröffentlicht - 15 Mai 2022

ASJC Scopus Sachgebiete

Algebra und Zahlentheorie

Zugriff auf Dokument

10.1016/j.jalgebra.2022.01.024

https://arxiv.org/abs/2107.06241Lizenz: Arxiv nonexclusive-distrib 1.0

Andere Dateien und Links

Verknüpfung zur Publikation in Scopus

Dieses zitieren

@article{24535344a8c14cb0865319130daa545a,

title = "Trivial source character tables of SL2(q)",

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",

author = "Bernhard B{\"o}hmler and Niamh Farrell and Caroline Lassueur",

note = "Funding Information: The authors gratefully acknowledge financial support by DFG SFB-TRR 195 {\textquoteleft}Symbolic Tools in Mathematics and their Application{\textquoteright}. The present article started as part of the Project A18 thereof.",

year = "2022",

month = may,

day = "15",

doi = "10.1016/j.jalgebra.2022.01.024",

language = "English",

volume = "598",

pages = "308--350",

journal = "Journal of Algebra",

issn = "0021-8693",

publisher = "Academic Press Inc.",

}

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 - https://www.scopus.com/pages/publications/85124295210

U2 - 10.1016/j.jalgebra.2022.01.024

DO - 10.1016/j.jalgebra.2022.01.024

M3 - Article

AN - SCOPUS:85124295210

SN - 0021-8693

VL - 598

SP - 308

EP - 350

JO - Journal of Algebra

JF - Journal of Algebra

ER -