Yet another variation on the theme of decomposition of transvections.

DOI10.3103/S1063454108040092zbMath1175.20043OpenAlexW2037064898MaRDI QIDQ735577

V. G. Kazakevich, Nikolai A. Vavilov

Publication date: 23 October 2009

Published in: Vestnik St. Petersburg University. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1063454108040092

zbMATH Keywords

general linear groupselementary matricesproducts of transvectionsunipotent elements

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Other matrix groups over rings (20H25)

Related Items (5)

Decomposition of transvections for automorphisms. ⋮ Linear groups over general rings. I: Generalities. ⋮ Calculations in exceptional groups over rings. ⋮ Decomposition of unipotents for \(\mathrm{E}_6\) and \(\mathrm{E}_7\): 25 years after ⋮ ${\mathrm A}_3$-proof of structure theorems for Chevalley groups of types ${\mathrm E}_6$ and ${\mathrm E}_7$ II. Main lemma

Cites Work

• Decomposition of transvections: A theme with variations
• AUTOMORPHISMS OF MATRIX GROUPS OVER COMMUTATIVE RINGS
• AN A₃-PROOF OF STRUCTURE THEOREMS FOR CHEVALLEY GROUPS OF TYPES E₆ AND E₇

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