an:02105365
Zbl 1057.20009
Waki, Katsushi
A note on decomposition numbers of \(G_2(2^n)\)
EN
J. Algebra 274, No. 2, 602-606 (2004).
00104984
2004
j
20C33 20G05 20G40
decomposition numbers; finite Chevalley groups
Summary: The decomposition numbers of the finite Chevalley group \(G_2(p^n)\) of type \((G_2)\) defined over a finite field of characteristic \(r\) which divides \(p^n+1\) were almost determined by \textit{G. Hiss} [J. Algebra 120, No. 2, 339-360 (1989; Zbl 0667.20009)]. The author proves that the decomposition numbers are bounded independently of \(p^n\) by using the same argument as \textit{T. Okuyama} and \textit{K. Waki} [J. Algebra 199, No. 2, 544-555 (1998; Zbl 0891.20009)] in the case of \(p=2\).
Zbl 0667.20009; Zbl 0891.20009