Subgroups of classical groups generated by long root elements

All conjugacy classes of subgroups G of classical groups of characteristic p are determined, which are generated by a conjugacy class of long root elements and satisfy Op(G) < G' n Z(G).

[1]  B. Fischer,et al.  Finite groups generated by 3-transpositions. I , 1971 .

[2]  Determination of the finite quaternary linear groups , 1913 .

[3]  Howard H. Mitchell,et al.  Determination of the ordinary and modular ternary linear groups , 1911 .

[4]  J. Mclaughlin,et al.  Some groups generated by transvections , 1967 .

[5]  Michael Aschbacher,et al.  A Characterization of Chevalley Groups Over Fields of Odd Order , 1977 .

[6]  E. Cline,et al.  Cohomology of finite groups of lie type, I , 1975 .

[7]  Benjamin Mwene,et al.  On the subgroups of the group PSL4(2m) , 1976 .

[8]  A. Wagner Groups generated by elations , 1974 .

[9]  Some maximal subgroups of PSL(n, q), n⩾3, q=2r , 1975 .

[10]  Harriet Pollatsek First cohomology groups of some orthogonal groups , 1974 .

[11]  Robert L. Griess,et al.  Schur multipliers of the known finite simple groups , 1972 .

[12]  W. Kantor,et al.  The 2-transitive permutation representa-tions of the finite Chevalley groups , 1976 .

[13]  Harriet Pollatsek First cohomology groups of some linear groups over fields of characteristic two , 1971 .

[14]  G. Schellekens On a Hexagonic Structure. II , 1962 .

[15]  C. Curtis,et al.  Representation theory of finite groups and associated algebras , 1962 .

[16]  Michael Aschbacher,et al.  Corrections to “Involutions in Chevalley groups over fields of even order” , 1976, Nagoya Mathematical Journal.

[17]  Marshall Hall,et al.  The simple group of order 604,800 , 1968 .

[18]  R. W. Hartley,et al.  Determination of the Ternary Collineation Groups Whose Coefficients Lie in the GF(2 n ) , 1925 .

[19]  Robert Steinberg,et al.  Representations of Algebraic Groups , 1963, Nagoya Mathematical Journal.

[20]  On finite groups generated by odd transpositions. I , 1972 .

[21]  E. Stensholt Certain embeddings among finite groups of Lie type , 1978 .

[22]  F. G Timmesfeld,et al.  Groups generated by root-involutions. II , 1975 .