Character tables of parabolic subgroups of Steinberg's triality groups.
Let \(^3D_4(q)\) denote the Steinberg triality group where \(q=p^n\), \(p\) a prime number. In this paper the author calculates the character tables of the three proper parabolic subgroups of \(^3D_4(q)\) in the case of odd \(p\). The complete character table of the group \(^3D_4(q)\) was already constructed by \textit{D. I. Deriziotis} and \textit{G. O. Michler} [Trans. Am. Math. Soc. 303, 39--70 (1987; Zbl 0628.20014)] and \textit{N. Spaltenstein} [Comment. Math. Helv. 57, 676--691 (1982; Zbl 0536.20025)] and the author uses the results of these papers on unipotent characters of \(^3D_4(q)\) to complete his work. From the text of the addendum: ``This article was to be part of this first special issue on computational algebra but was published in error in a regular issue. The publisher would like to apologize for any inconvenience that this may have caused. For readers of the online version, please follow the link provided. For readers of the print version, the entire article is republished in full at the end of this issue.''
scientific article; zbMATH DE number 2119122
scientific article