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Special Linear Groups Generated by Transvections and Embedded Projective Spaces
Author(s) -
Cuypers Hans,
Steinbach Anja
Publication year - 2001
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/s0024610701002721
Subject(s) - projective test , mathematics , class (philosophy) , pure mathematics , special linear group , degenerate energy levels , covering groups of the alternating and symmetric groups , characterization (materials science) , projective linear group , algebra over a field , projective space , group (periodic table) , complex projective space , computer science , physics , optics , non abelian group , artificial intelligence , cyclic group , quantum mechanics , abelian group
A characterization is given of the ‘special linear groups’ T (Ψ, W ) as linear groups generated by a non‐degenerate class Σ of abstract root groups such that the elements of A ∈ Σ are transvections.