Gauss decomposition with prescribed semisimple part in chevalley groups II exceptional cases

DOI10.1080/00927879508825390zbMath0838.20054OpenAlexW1985440230MaRDI QIDQ4843212

Erich W. Ellers, Nikolai Gordeev

Publication date: 4 June 1996

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879508825390

zbMATH Keywords

Gauss decompositionexceptional Chevalley groupssemisimple part

Mathematics Subject Classification ID

Factorization of matrices (15A23) Linear algebraic groups over arbitrary fields (20G15) Generators, relations, and presentations of groups (20F05) Groups with a (BN)-pair; buildings (20E42)

Related Items (15)

COVERING NUMBERS FOR NON-PERFECT FINITE GROUPS ⋮ The Waring problem for Lie groups and Chevalley groups ⋮ Generation of finite almost simple groups by conjugates. ⋮ Equations in simple matrix groups: algebra, geometry, arithmetic, dynamics. ⋮ Gauss decomposition with prescribed semisimple part in chevalley groups iii: Finite twisted groups ⋮ 2010 European Summer Meeting of the Association for Symbolic Logic. Logic Colloquium '10 ⋮ Covering numbers for Chevalley groups ⋮ Intersection of conjugacy classes of Chevalley groups with Gauss cells ⋮ Gauss Decomposition with Prescribed Semisimple Part in Quadratic Groups ⋮ On the conjectures of J. Thompson and O. Ore ⋮ Products of involutions in simple Chevalley groups ⋮ Prescribed Gauss decompositions for Kac-Moody groups over fields ⋮ A generalization of Sourour's theorem ⋮ Products of involutions in the groups of lie typeF₄(k) ⋮ Gauss decompositions of kac-moody groups

Cites Work

• Lectures on Chevalley Groups
• A factorization theorem for matrices
• Gauss decomposition with prescribed semisimple part in classical chevalley groups
• Commutators of Matrices with Prescribed Determinant

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