Dade's invariant conjecture for Steinberg's triality groups 3D4 (2n) in defining characteristic

Frank Himstedt, Shih chang Huang

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1 Citation (Scopus)

Abstract

In this paper, we verify Dade's invariant conjecture for Steinberg's triality groups 3D4 (2n) in the defining characteristic, i.e., in characteristic 2. Together with the results in [J. An, Dade's conjecture for Steinberg triality groups 3D4 (q) in non-defining characteristics, Math. Z. 241 (2002) 445-469] and [J. An, F. Himstedt, S. Huang, Uno's invariant conjecture for Steinberg's triality groups in defining characteristic, in preparation], this completes the proof of Dade's conjecture for Steinberg's triality groups. Furthermore, we show that the Isaacs-Malle-Navarro version of the McKay conjecture holds for 3D4 (2n) in the defining characteristic, i.e., 3D4 (2n) is good for the prime 2 in the sense of Isaacs, Malle and Navarro.

Original languageEnglish
Pages (from-to)802-827
Number of pages26
JournalJournal of Algebra
Volume316
Issue number2
DOIs
Publication statusPublished - 2007 Oct 15

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

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