Carter subgroups of finite groups

被引：8
作者：
Vdovin E.P. [1 ]
机构：
[1] Sobolev Institute of Mathematics
来源：
Siberian Advances in Mathematics | 2009年 / 19卷 / 1期
基金：
俄罗斯基础研究基金会;
关键词：
Carter subgroup; Conjugated powers of an element; Finite simple group; Group of Lie type; Linearal gebraic group; Semilinear group of Lie type; Semilinearal gebraic group;
D O I：
10.3103/S1055134409010039
中图分类号：
学科分类号：
摘要：
It is proven that the Carter subgroups of a finite group are conjugate. A complete classification of the Carter subgroups in finite almost simple groups is also obtained. © Allerton Press, Inc. 2009.
引用
收藏
页码：24 / 74
页数：50
相关论文
共 48 条
  • [1] Borel A., Et al., Seminar on Algebraic Groups and Related Finite Groups, (1970)
  • [2] Borel A., de Siebental J., Les-sous-groupes fermés de rang maximum des groupes de Lie clos, Comment. Math. Helv., 23, pp. 200-221, (1949)
  • [3] Carter R.W., Nilpotent self-normalizing subgroups of soluble groups, Math. Z., 75, pp. 136-139, (1961)
  • [4] Carter R.W., Conjugacy classes in the Weyl group, Compos. Math., 25, 1, pp. 1-59, (1972)
  • [5] Carter R.W., Simple Groups of Lie Type, (1972)
  • [6] Carter R.W., Centralizers of semisimple elements in finite groups of Lie type, Proc. London Math. Soc. (3), 37, 3, pp. 491-507, (1978)
  • [7] Carter R.W., Centralizers of semisimple elements in the finite classical groups, Proc. London Math. Soc. (3), 42, 1, pp. 1-41, (1981)
  • [8] Carter R.W., Finite Groups of Lie Type, Conjugacy Classes, and Complex Characters, (1985)
  • [9] Carter R.W., Fong P., The Sylow 2-subgroups of the finite classical groups, J. Algebra, 1, pp. 139-151, (1964)
  • [10] Conway J.H., Curtis R.T., Norton S.P., Parker R.A., Wilson R.A., Atlas of Finite Groups, (1985)
12345