Groups Acting on Dendrons

被引：5
作者：
Malyutin A.V. [1 ]
机构：
[1] St.Petersburg Department of Steklov Mathematical Institute, St.Petersburg
来源：
Journal of Mathematical Sciences | 2016年 / 212卷 / 5期
关键词：
Automorphism Group; Compact Space; Cayley Graph; Hyperbolic Group; Dendritic Space;
D O I：
10.1007/s10958-016-2688-2
中图分类号：
学科分类号：
摘要：
A dendron is defined as a continuum (a nonempty, connected, compact Hausdorff space) in which every two distinct points have a separation point. It is proved that if a group G acts on a dendron D by homeomorphisms, then either D contains a G-invariant subset consisting of one or two points or G contains a free noncommutative subgroup and, furthermore, the action is strongly proximal. © 2016, Springer Science+Business Media New York.
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页码：558 / 565
页数：7
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