Isomorphisms of adjoint Chevalley groups over integral domains

被引:7
|
作者
Chen, Y
机构
关键词
Chevalley group; elementary subgroup; integral domain; isomorphism;
D O I
10.1090/S0002-9947-96-01521-8
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
It is shown that every automorphism of an adjoint Chevalley group over an integral domain containing the rational number field is uniquely expressible as the product of a ring automorphism, a graph automorphism and an inner automorphism while every isomorphism between simple adjoint Chevalley groups can be expressed uniquely as the product of a ring isomorphism, a graph isomorphism and an inner automorphism. The isomorphisms between the elementary subgroups are also found having analogous expressions.
引用
收藏
页码:521 / 541
页数:21
相关论文
共 50 条
  • [31] On the Steinberg module of Chevalley groups
    Árpád Tóth
    manuscripta mathematica, 2005, 116 : 277 - 295
  • [32] Non-Abelian K-Theory for chevalley groups over rings
    Stepanov A.V.
    Journal of Mathematical Sciences, 2015, 209 (4) : 645 - 656
  • [33] Relative subgroups in Chevalley groups
    Hazrat, R.
    Petrov, V.
    Vavilov, N.
    JOURNAL OF K-THEORY, 2010, 5 (03) : 603 - 618
  • [34] Unitriangular factorizations of chevalley groups
    N. A. Vavilov
    A. V. Smolensky
    B. Sury
    Journal of Mathematical Sciences, 2012, 183 (5) : 584 - 599
  • [35] Subgroups, of Chevalley groups over a locally finite field, defined by a family of additive subgroups
    Koibaev, V. A.
    Kuklina, S. K.
    Likhacheva, A. O.
    Nuzhin, Ya. N.
    MATHEMATICAL NOTES, 2017, 102 (5-6) : 792 - 798
  • [36] ON THE HARISH-CHANDRA HOMOMORPHISM FOR THE CHEVALLEY GROUPS OVER P-ADIC FIELD
    CHEN ZHONGHU ( Department of Mathematics
    ChineseAnnalsofMathematics, 1995, (01) : 63 - 74
  • [37] The generalized Khatri-inverse over integral domains
    Wang, Hong-Xing
    Liu, Xiao-Ji
    PROCEEDINGS OF THE 14TH CONFERENCE OF INTERNATIONAL LINEAR ALGEBRA SOCIETY, 2007, : 294 - 299
  • [38] Twisted Conjugacy Classes in Chevalley Groups
    T. R. Nasybullov
    Algebra and Logic, 2015, 53 : 481 - 501
  • [39] A Theory of Isomorphisms of Fuzzy Groups
    Yu Yandong(Dept. Math.
    Yancheng Teachers College
    Jiangsu
    China)
    模糊系统与数学, 1988, (02) : 57 - 68
  • [40] On truncation of irreducible representations of Chevalley groups
    Mahnkopf, Joachim
    JOURNAL OF NUMBER THEORY, 2013, 133 (09) : 3149 - 3182