Groups Acting on Dendrons
- Авторлар: Malyutin A.1
-
Мекемелер:
- St.Petersburg Department of Steklov Mathematical Institute
- Шығарылым: Том 212, № 5 (2016)
- Беттер: 558-565
- Бөлім: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/237080
- DOI: https://doi.org/10.1007/s10958-016-2688-2
- ID: 237080
Дәйексөз келтіру
Аннотация
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.
Негізгі сөздер
Авторлар туралы
A. Malyutin
St.Petersburg Department of Steklov Mathematical Institute
Хат алмасуға жауапты Автор.
Email: malyutin@pdmi.ras.ru
Ресей, St.Petersburg