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This article is cited in 7 scientific papers (total in 7 papers)
Certain balanced groups and 3-manifolds
Kim Ann Chia, A. I. Kostrikinb a Pusan National University
b Steklov Mathematical Institute, Russian Academy of Sciences
Abstract:
Five series of groups with finite presentations are constructed. Their definition is based on the construction of some closed, compact, orientable 3-manifolds, so that these groups are balanced. The derived quotients of the groups are described. Almost all these groups are proved to be infinite; moreover, the linear groups $\operatorname {SL}(2,F)$ with $|F:{\mathbb Q}|\leqslant 6$ are involved in many of them. The relevant arguments are elementary, but the results obtained on balanced groups will be useful in further studies of 3-manifolds.
Received: 12.09.1996
Citation:
Kim Ann Chi, A. I. Kostrikin, “Certain balanced groups and 3-manifolds”, Mat. Sb., 188:2 (1997), 3–24; Sb. Math., 188:2 (1997), 173–194
Linking options:
https://www.mathnet.ru/eng/sm193https://doi.org/10.1070/SM1997v188n02ABEH000193 https://www.mathnet.ru/eng/sm/v188/i2/p3
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Abstract page: | 413 | Russian version PDF: | 204 | English version PDF: | 6 | References: | 44 | First page: | 1 |
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