Minimal characters of the finite classical groups

Pham Huu Tiep, Alexander E. Zalesskii

Research output: Contribution to journalArticle

97 Citations (Scopus)

Abstract

Let G(q) be a finite simple group of Lie type over a finite field of order q and d(G(q)) the minimal degree of faithful projective complex representations of G(q). For the case G(q) is a classical group we determine the number of projective complex characters of G(q) of degree d(G(q)). In several cases we also determine the projective complex characters of the second and the third lowest degrees. As a corollary of these results we deduce the classification of quasi-simple irreducible complex linear groups of degree at most 2r, r a prime divisor of the group order.

Original languageEnglish (US)
Pages (from-to)2093-2167
Number of pages75
JournalCommunications in Algebra
Volume24
Issue number6
StatePublished - 1996
Externally publishedYes

Fingerprint

Classical Groups
Finite Group
Groups of Lie Type
Finite Simple Group
Linear Group
Faithful
Divisor
Galois field
Deduce
Lowest
Corollary
Character

ASJC Scopus subject areas

  • Algebra and Number Theory

Cite this

Minimal characters of the finite classical groups. / Tiep, Pham Huu; Zalesskii, Alexander E.

In: Communications in Algebra, Vol. 24, No. 6, 1996, p. 2093-2167.

Research output: Contribution to journalArticle

Tiep, PH & Zalesskii, AE 1996, 'Minimal characters of the finite classical groups', Communications in Algebra, vol. 24, no. 6, pp. 2093-2167.
Tiep, Pham Huu ; Zalesskii, Alexander E. / Minimal characters of the finite classical groups. In: Communications in Algebra. 1996 ; Vol. 24, No. 6. pp. 2093-2167.
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