On the restriction of cross characteristic representations of 2 F 4(q) to proper subgroups

Frank Himstedt, Hung Ngoc Nguyen, Pham Huu Tiep

Research output: Contribution to journalArticle

2 Scopus citations

Abstract

We prove that the restriction of any nontrivial representation of the Ree groups 2 F 4(q), q = 22n+1 ≥ 8 in odd characteristic to any proper subgroup is reducible. We also determine all triples (K, V, H) such that K ε {2F4(2), 2F4(2)′}, H is a proper subgroup of K, and V is a representation of K in odd characteristic restricting absolutely irreducibly to H.

Original languageEnglish (US)
Pages (from-to)415-423
Number of pages9
JournalArchiv der Mathematik
Volume93
Issue number5
DOIs
StatePublished - Nov 2009

Keywords

  • Cross characteristic representations
  • Irreducible restrictions

ASJC Scopus subject areas

  • Mathematics(all)

Fingerprint Dive into the research topics of 'On the restriction of cross characteristic representations of <sup>2</sup> F <sub>4</sub>(q) to proper subgroups'. Together they form a unique fingerprint.

  • Cite this