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Original Articles

Gauss decomposition with prescribed semisimple part in classical chevalley groups

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Pages 5935-5950 | Received 01 Jan 1994, Published online: 27 Jun 2007

References

  • Arad , Z. 1985 . “ Products of conjugacy classes in groups ” . In Lecture Notes in Mathematics , Edited by: Herzog , M. Vol. 1112 , New York : Springer Verlag .
  • Bourbaki , N. 1968 . Groupes et algèbres de Lie, IV, V, VI , Paris : Hermann .
  • Brenner , J.L. 1983 . Covering theorems for finasigs X . ARS Combinatoria 16 , 16 : 57 – 67 .
  • Ellers , E.W. 1993 . The reflection length of a transformation in the unitary group over a . Linear and Multilinear Algebrafinite field , 35 : 11 – 36 .
  • Ellers , E.W. 1993 . Products of iransvections in one conjugacy class in the symplectic group over GF(3) . Linear Algebra Appl , 35 to appear
  • Ellers , E.W. and Malzan , J. 1990 . Products of reflections in the kernel of the spinorial norm . Geom. Dedicata , 36 : 279 – 285 .
  • Ellers , E.W. 1991 . Products of λ-transvections in Sp(2n,q) . Linear Algebra Appl , 146 : 121 – 132 .
  • Gow , R. 1988 . “ Commutators in the symplectic group ” . In Arch. Math Vol. 50 , 204 – 209 . Basel
  • Gordeev N. Products of conjugacy classes in algebraic groups, parts I, II Preprint
  • Laffey , T.J. Products of matrices, Generators and Relations in Groups and Geometries . Proceedings NATO ASI Series C . Vol. 333 , pp. 95 – 123 . Dordrecht, , The Netherlands : Kluwer Academic Publ .
  • Lev , A. 1993 . Products of cyclic conjugacy classes in the groups PSLn(F) . Linear Algebra Appl , 333 : 59 – 83 .
  • Lev , A. 1993 . Products of cyclic similarity classes in the groups GLn(F) . Linear Algebra Appl , 333 to appear
  • Lev A. Products of 1-cyclic conjugacy classes in the groups SL(F) Preprint
  • Lev A. The covering number of the group PSL(F) Preprint
  • Sourour , A.R. 1986 . A factorization theorem for matrices . Linear and Multilinear Algebra , 19 : 141 – 147 .
  • Steinberg , R. 1967 . Lectures on Chevalley groups , Yale University .
  • Vaserstein , L.N. and Wheland , E. 1990 . Commutators and companion matrices over rings of stable rank 1 . Linear Algebra Appl , 142 : 263 – 277 .

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