Наукова електронна бібліотека
періодичних видань НАН України
періодичних видань НАН України
On the condensation property of the Lamplighter groups and groups of intermediate growth
Репозиторій DSpace/Manakin
JavaScript is disabled for your browser. Some features of this site may not work without it.
On the condensation property of the Lamplighter groups and groups of intermediate growth
Інший ID:
2010 MSC:20F65, 20E08, 20F69, 20F05.
Посилання:
On the condensation property of the Lamplighter groups and groups of intermediate growth / M.G. Benli, R. Grigorchuk // Algebra and Discrete Mathematics. — 2014. — Vol. 17, № 2. — С. 222–231. — Бібліогр.: 13 назв. — англ.
Підтримка:
The authors were supported by NSF grant DMS-1207699.
Дата:
2014
Переглядів:
467
Завантажень:
154
Анотація:
The aim of this short note is to revisit some old results about groups of intermediate growth and groups of the lamplighter type and to show that the Lamplighter group L = Z₂≀Z is a condensation group and has a minimal presentation by generators and relators. The condensation property is achieved by showing that L belongs to a Cantor subset of the space M₂ of marked 2-generated groups consisting mostly of groups of intermediate growth.
