2-blocks and 2-modular characters of the Chevalley groups G2(q)

• Verfasst von: Hiss, Gerhard [VerfasserIn]
• Verfasst von: Shamash, Josephine [VerfasserIn]
• Titel: 2-blocks and 2-modular characters of the Chevalley groups G2(q)
• Verf.angabe: Gerhard Hiss, Josephine Shamash
• Jahr: 1992
• Umfang: 28 S.
• Fussnoten: Gesehen am 28.06.2023
• Titel Quelle: Enthalten in: Mathematics of computation
• Ort Quelle: Providence, RI : Soc., 1960
• Jahr Quelle: 1992
• Band/Heft Quelle: 59(1992), 200, Seite 645-672
• ISSN Quelle: 1088-6842
• DOI: doi:10.2307/2153082
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1851173595

Abstract

We first determine the distribution of the ordinary irreducible characters of the exceptional Chevalley group G₂(q), q odd, into 2-blocks. This is done by using the method of central characters. Then all but two of the irreducible 2-modular characters are determined. The results are given in the form of decomposition matrices. The methods here involve concepts from modular representation theory and symbolic computations with the computer algebra system MAPLE. As a corollary, the smallest degree of a faithful representation of G₂(q), q odd, over a field of characteristic 2 is obtained.