Geodesic
Certain balanced groups and 3-manifolds
Sbornik. Mathematics, Tome 188 (1997) no. 2, pp. 173-194

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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. 
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     author = {Kim Ann Chi and A. I. Kostrikin},
     title = {Certain balanced groups and 3-manifolds},
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     year = {1997},
     language = {en},
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Kim Ann Chi; A. I. Kostrikin. Certain balanced groups and 3-manifolds. Sbornik. Mathematics, Tome 188 (1997) no. 2, pp. 173-194. http://geodesic.mathdoc.fr/item/SM_1997_188_2_a0/