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SOME HYPERBOLIC SPACE FORMS WITH FEW GENERATED FUNDAMENTAL GROUPS
Cavicchioli, Alberto,Molnar, Emil,Telloni, Agnese I. Korean Mathematical Society 2013 대한수학회지 Vol.50 No.2
We construct some hyperbolic hyperelliptic space forms whose fundamental groups are generated by only two or three isometries. Each occurring group is obtained from a supergroup, which is an extended Coxeter group generated by plane re ections and half-turns. Then we describe covering properties and determine the isometry groups of the constructed manifolds. Furthermore, we give an explicit construction of space form of the second smallest volume nonorientable hyperbolic 3-manifold with one cusp.
Some hyperbolic space forms with few generated fundamental groups
Alberto Cavicchioli,Emil Molnar,Agnese I. Telloni 대한수학회 2013 대한수학회지 Vol.50 No.2
We construct some hyperbolic hyperelliptic space forms wh-ose fundamental groups are generated by only two or three isometries. Each occurring group is obtained from a supergroup, which is an extendedCoxeter group generated by plane reections and half-turns. Then wedescribe covering properties and determine the isometry groups of theconstructed manifolds. Furthermore, we give an explicit construction ofspace form of the second smallest volume nonorientable hyperbolic 3{manifold with one cusp.