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Group of Lie type

In mathematics, specifically in group theory, the phrase group of Lie type usually refers to finite groups that are closely related to the group of rational points of a reductive linear algebraic group with values in a finite field. The important collection of finite simple groups of Lie type make up most of the groups in the classification of finite…

Relations with finite simple groups, Classical groups & Steinberg groups

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Overview

Classical groups

Chevalley groups

Steinberg groups

Suzuki–Ree groups

Relations with finite simple groups

Small groups of Lie type

Notation issues

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Group of Lie type

Nodes73
Edges72
Triples2
Avg. degree1.97
Density0.027397
Components1

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Important terminology

groups group simple order finite type lie schur multiplier extra instead field algebraic points linear alternating 2z chevalley fields psl

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
SLinstance ofThe problem is that a surjective map of algebraic groups0.80text
Aninstance ofconvention is far more common and is closer to the convention for algebraic groups.Authors differ on whether groups0.80text

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