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.
机构:
Faculty of Information Technology, University of Pannonia, Egyetem u. 10., Veszprém,8200, HungaryFaculty of Information Technology, University of Pannonia, Egyetem u. 10., Veszprém,8200, Hungary
Estélyi, István
Karabáš, Ján
论文数: 0引用数: 0
h-index: 0
机构:
Mathematical Institute, Slovak Academy of Sciences, Banská Bystrica, SlovakiaFaculty of Information Technology, University of Pannonia, Egyetem u. 10., Veszprém,8200, Hungary
Karabáš, Ján
Mednykh, Alexander
论文数: 0引用数: 0
h-index: 0
机构:
Sobolev Institute of Mathematics, Pr. Koptyuga 4, Novosibirsk,630090, Russia
Novosibirsk State University, Pirogova 2, Novosibirsk,630090, RussiaFaculty of Information Technology, University of Pannonia, Egyetem u. 10., Veszprém,8200, Hungary