Approximation of automorphisms of the rationals and the random graph

被引:4
|
作者
Darji, U. B. [1 ]
Mitchell, J. D. [2 ]
机构
[1] Univ Louisville, Dept Math, Louisville, KY 40292 USA
[2] Math Inst, St Andrews KY16 9SS, Fife, Scotland
关键词
SMALL INDEX PROPERTY; GENERIC AUTOMORPHISMS; HOMOGENEOUS STRUCTURES; SUBGROUPS;
D O I
10.1515/JGT.2010.057
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let G be the group of order-preserving automorphisms of the rationals Q, or the group of colour-preserving automorphisms of the C-coloured random graph R-C. We show that given any non-identity f is an element of G, there exists g is an element of G such that every automorphism in G is the limit of a sequence of automorphisms generated by f and g. Moreover, if, in some sense, f has no finite structure, then g can be chosen with a great deal of flexibility.
引用
收藏
页码:361 / 388
页数:28
相关论文
共 50 条