Cross characteristic representations of 3D4(q) are reducible over proper subgroups

Hung Ngoc Nguyen, Pham Huu Tiep, Frank Himstedt

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

We prove that the restriction of any absolutely irreducible representation of Steinberg's triality groups 3D4(q) in characteristic coprime to q to any proper subgroup is reducible.

Original languageEnglish (US)
Pages (from-to)657-668
Number of pages12
JournalJournal of Group Theory
Volume11
Issue number5
DOIs
StatePublished - Sep 2008
Externally publishedYes

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Coprime
Irreducible Representation
Subgroup
Restriction

ASJC Scopus subject areas

  • Algebra and Number Theory

Cite this

Cross characteristic representations of 3D4(q) are reducible over proper subgroups. / Nguyen, Hung Ngoc; Tiep, Pham Huu; Himstedt, Frank.

In: Journal of Group Theory, Vol. 11, No. 5, 09.2008, p. 657-668.

Research output: Contribution to journalArticle

Nguyen, Hung Ngoc ; Tiep, Pham Huu ; Himstedt, Frank. / Cross characteristic representations of 3D4(q) are reducible over proper subgroups. In: Journal of Group Theory. 2008 ; Vol. 11, No. 5. pp. 657-668.
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