Gauss Decomposition with Prescribed Semisimple Part in Quadratic Groups

DOI10.1080/00927870802502704zbMath1188.15014OpenAlexW2056185966MaRDI QIDQ3644344

Chen Sheng, Chun-Sheng Wang, Sheng Kui Ye

Publication date: 4 November 2009

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

Full work available at URL: https://doi.org/10.1080/00927870802502704

zbMATH Keywords

Thompson conjectureGauss decompositionquadratic groups

Mathematics Subject Classification ID

Factorization of matrices (15A23) Linear algebraic groups over arbitrary fields (20G15) Generators, relations, and presentations of groups (20F05) Classical groups (algebro-geometric aspects) (14L35)

Related Items (3)

Commutator lengths in general linear group over a skew-field ⋮ Word equations in simple groups and polynomial equations in simple algebras. ⋮ Products of commutators on a general linear group over a division algebra

Cites Work

• Unnamed Item
• Products of conjugacy classes in Chevalley groups. I: Extended covering numbers
• Products of conjugacy classes in Chevalley groups. II: Covering and generation
• A generalization of Sourour's theorem
• Products of cyclic similarity classes in the groups \(\text{GL}_n(F)\)
• Gauss decomposition with prescribed semisimple part: short proof
• Covering numbers for Chevalley groups
• Intersection of conjugacy classes of Chevalley groups with Gauss cells
• The covering number of the group \(\text{PSL}_ n(F)\)
• Prestability for quadratic \(K_1\) of \(\Lambda\)-1-fold stable rings
• Sums of orbits of algebraic groups. I.
• A factorization theorem for matrices
• K-Theory of Forms. (AM-98)
• On the conjectures of J. Thompson and O. Ore
• Gauss decompositions of kac-moody groups
• Gauss decomposition with prescribed semisimple part in classical chevalley groups
• Gauss decomposition with prescribed semisimple part in chevalley groups iii: Finite twisted groups
• Gauss decomposition with prescribed semisimple part in chevalley groups II exceptional cases
• Products of conjugacy classes in Chevalley groups over local rings

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