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
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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:
377
Завантажень:
122
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.
