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On the generators of the kernels of hyperbolic group presentations
Репозиторій DSpace/Manakin
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On the generators of the kernels of hyperbolic group presentations
Інший ID:
2000 Mathematics Subject Classification:20F67, 20F06.
Посилання:
On the generators of the kernels of hyperbolic group presentations / V. Chaynikov// Algebra and Discrete Mathematics. — 2011. — Vol. 11, № 2. — С. 18–50. — Бібліогр.: 11 назв. — англ.
Підтримка:
The author is grateful to Aleksander Olshanskii for his guidance and many valuablesuggestions and to Denis Osin for his comments
Дата:
2011
Переглядів:
434
Завантажень:
150
Анотація:
In this paper we prove that if R is a (not necessarily finite) set of words satisfying certain small cancellation condition in a hyperbolic group G then the normal closure of R is free. This result was first presented (for finite set R) by T. Delzant [Delz] but the proof seems to require some additional argument. New applications of this theorem are provided.
