Nilpotent Lie groups and hyperbolic automorphisms

被引:2
作者
Choudhuri, Manoj [1 ]
Raja, C. R. E. [2 ]
机构
[1] Inst Infrastruct Technol Res & Management, Ahmadabad 380026, Gujarat, India
[2] Indian Stat Inst, Bangalore Ctr, Stat & Math Unit, 8th Mile,Mysore Rd, Bangalore 560059, Karnataka, India
关键词
Nilpotent Lie groups; Hyperbolic automorphisms; Algebraic groups; EXPANSIVE AUTOMORPHISMS; SUBGROUPS;
D O I
10.1007/s00013-020-01487-8
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
A connected Lie group admitting an expansive automorphism is known to be nilpotent, but not all nilpotent Lie groups admit expansive automorphisms. In this article, we find sufficient conditions for a class of nilpotent Lie groups to admit expansive automorphisms.
引用
收藏
页码:247 / 255
页数:9
相关论文
共 21 条
[1]   ARITHMETIC SUBGROUPS OF ALGEBRAIC GROUPS [J].
BOREL, A ;
HARISHCHANDRA .
ANNALS OF MATHEMATICS, 1962, 75 (03) :485-&
[3]  
Bourbaki N, 1998, ELEMENTS MATH
[4]  
Dixmier J., 1957, P AM MATH SOC, V8, P155
[5]  
Eberlein P., 2004, MODERN DYNAMICAL SYS, P67
[6]  
Eberlein P., 2003, Contemp. Math., V332, P37
[7]  
EISENBERG M, 1966, MATH SCAND, V19, P217
[8]  
Eisenberg M., 1966, Fund. Math, V59, P313
[9]   Expansive automorphisms of totally disconnected, locally compact groups [J].
Gloeckner, Helge ;
Raja, C. R. E. .
JOURNAL OF GROUP THEORY, 2017, 20 (03) :589-619
[10]   Classification of the simple factors appearing in composition series of totally disconnected contraction groups [J].
Gloeckner, Helge ;
Willis, George A. .
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2010, 643 :141-169