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Projective linear group

In mathematics, especially in the group theoretic area of algebra, the projective linear group (also known as the projective general linear group or PGL) is the induced action of the general linear group of a vector space V on the associated projective space P(V). Explicitly, the projective linear group is the quotient group

Finite fields, Name & Properties

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Projective linear group

Nodes145
Edges144
Triples32
Avg. degree1.99
Density0.013793
Components1

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Projective linear group

Top relations

related to Larger groups · 7
Projective linear group → Cr, Cremona, PGL, Pn, Projective, PΓL, The
related to Low dimensions · 7
Projective linear group → For, Further, GL, K0, PGL, The, Thus
related to Representation theory · 6
Projective linear group → GL, Issai Schur, PGL, Schur, These, This
related to Elements · 5
Projective linear group → PSO, Rotations, SO, The, Visually
related to Name · 5
Projective linear group → GL, Möbius, PGL, Stated, The
is a · 2
Projective linear group → proper subgroup of the collineation group, quotient groupPGL

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Important terminology

group pgl projective linear psl action points space groups also map line gl subgroup order field acts l2 special defined

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Projective linear groupis aquotient groupPGL0.90text
Projective linear groupis aproper subgroup of the collineation group0.90text
Projective linear grouprelated to ElementsThe0.60section
Projective linear grouprelated to ElementsPSO0.60section
Projective linear grouprelated to ElementsVisually0.60section
Projective linear grouprelated to ElementsRotations0.60section
Projective linear grouprelated to ElementsSO0.60section
Projective linear grouprelated to Larger groupsThe0.60section
Projective linear grouprelated to Larger groupsProjective0.60section
Projective linear grouprelated to Larger groupsPΓL0.60section
Projective linear grouprelated to Larger groupsCremona0.60section
Projective linear grouprelated to Larger groupsCr0.60section

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