On the area of the complement of the invariant component of certain b-groups and on sequences of terminal regular b-groups


In this paper, we give a lower estimate of the Euclidian area of non-invariant components of b-group with suitable normalizations which contains triangle groups as component subgroups. As an application of the estimate, we obtain a sufficient condition for a sequence of terminal regular b-group to converge to a totally degenerate group.

submission: December 21, 1998

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