Conical limit points and groups of divergence type

Hong, Sungbok

doi:10.1090/S0002-9947-1994-1273535-1

Conical limit points and groups of divergence type
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by Sungbok Hong PDF

Trans. Amer. Math. Soc. 346 (1994), 341-357 Request permission

Abstract:

We use the Patterson-Sullivan measure to generalize Agard’s theorem to all groups of divergence type. As a consequence, we prove that for a nonelementary group $\Gamma$ of divergence type, the conical limit set has positive Patterson-Sullivan measure.

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