Prime Power Representations Of Finite Linear Groups

1956/01/01 by Robert Steinberg · 2 citations
Mathematics · #Finite Group Theory Research #Graph theory and applications #Mathematics #Unimodular matrix #Projective unitary group #Prime power #Classical group #Prime (order theory) #Schur multiplier #Group (periodic table) #Projective linear group #Pure mathematics #Unitary state #Symplectic group #Group of Lie type #Covering groups of the alternating and symmetric groups #Classification of finite simple groups #Simple group #Non-abelian group #Projective test #Symplectic geometry #Simple (philosophy) #Projective space #Combinatorics #Cyclic group #Group theory #Complex projective space #Abelian group #Lie group

paper · pdf · doi:10.4153/cjm-1956-063-3

openalex publication_date 1956/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04

Abstract

1. Introduction. There are five well-known, two-parameter families of simple finite groups: the unimodular projective group, the symplectic group,1 the unitary group,2 and the first and second orthogonal groups, each group acting on a vector space of a finite number of elements (2; 3).

Citations

• Untersuchungen über die Darstellung der endlichen Gruppen durch gebrochene lineare Substitutionen.
• A geometric approach to the representations of the full linear group over a Galois field

Cited by

• Prime Power Representations of Finite Linear Groups II
• Steinberg representation [wikipedia]