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:
Univ Louisville, Dept Math, Louisville, KY 40292 USA
Ashoka Univ, Kundli 131029, Rai, IndiaUniv Louisville, Dept Math, Louisville, KY 40292 USA
Darji, Udayan B.
Elekes, Marton
论文数: 0引用数: 0
h-index: 0
机构:
Hungarian Acad Sci, Alfred Reny Inst Math, POB 127, H-1364 Budapest, Hungary
Eotvos Lorand Univ, Inst Math, Pazmany Peter S 1-c, H-1117 Budapest, HungaryUniv Louisville, Dept Math, Louisville, KY 40292 USA
Elekes, Marton
Kalina, Kende
论文数: 0引用数: 0
h-index: 0
机构:
Eotvos Lorand Univ, Inst Math, Pazmany Peter S 1-c, H-1117 Budapest, HungaryUniv Louisville, Dept Math, Louisville, KY 40292 USA
Kalina, Kende
Kiss, Viktor
论文数: 0引用数: 0
h-index: 0
机构:
Hungarian Acad Sci, Alfred Reny Inst Math, POB 127, H-1364 Budapest, Hungary
Eotvos Lorand Univ, Inst Math, Pazmany Peter S 1-c, H-1117 Budapest, HungaryUniv Louisville, Dept Math, Louisville, KY 40292 USA
Kiss, Viktor
Vidnyanszky, Zoltan
论文数: 0引用数: 0
h-index: 0
机构:
CALTECH, Dept Math, Pasadena, CA 91125 USAUniv Louisville, Dept Math, Louisville, KY 40292 USA