Gauss decomposition with prescribed semisimple part in chevalley groups iii: Finite twisted groups

DOI10.1080/00927879608825826zbMath0887.20022OpenAlexW2096624834MaRDI QIDQ4369938

Erich W. Ellers, Nikolai Gordeev

Publication date: 19 March 1998

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

Full work available at URL: https://doi.org/10.1080/00927879608825826

zbMATH Keywords

Gauss decompositionfinite twisted Chevalley groupssemisimple part

Mathematics Subject Classification ID

Factorization of matrices (15A23) Linear algebraic groups over finite fields (20G40) Generators, relations, and presentations of groups (20F05) Groups with a (BN)-pair; buildings (20E42)

Related Items

COVERING NUMBERS FOR NON-PERFECT FINITE GROUPS, Commutator lengths in general linear group over a skew-field, The Waring problem for Lie groups and Chevalley groups, Equations in simple matrix groups: algebra, geometry, arithmetic, dynamics., Products of commutators on a general linear group over a division algebra, Covering numbers for Chevalley groups, Intersection of conjugacy classes of Chevalley groups with Gauss cells, Products of conjugacy classes in Chevalley groups over local rings, Gauss Decomposition with Prescribed Semisimple Part in Quadratic Groups, On the conjectures of J. Thompson and O. Ore, Prescribed Gauss decompositions for Kac-Moody groups over fields, A generalization of Sourour's theorem, Sums of orbits of algebraic groups. I., Gauss decompositions of kac-moody groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Products of cyclic conjugacy classes in the groups \(\text{PSL}(n,F)\)
• Products of cyclic similarity classes in the groups \(\text{GL}_n(F)\)
• Products of conjugacy classes in groups
• Lectures on Chevalley Groups
• A Family of Simple Groups Associated with the Simple Lie Algebra of Type (F 4 )
• A factorization theorem for matrices
• Gauss decomposition with prescribed semisimple part in classical chevalley groups
• Gauss decomposition with prescribed semisimple part in chevalley groups II exceptional cases
• Commutators of Matrices with Prescribed Determinant
• Some Remarks on Commutators