대한수학회논문집 (Communications of the Korean Mathematical Society)
- 제9권4호
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- Pages.945-950
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- 1994
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- 1225-1763(pISSN)
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- 2234-3024(eISSN)
GEOMETRIC CHARACTERIZATIONS OF CONCENTRATION POINTS FOR M$\"{O}$ BIUS GROUPS
- Sung Bok Hong (Department of Mathematics, Pusan Women's University, Pusan 616-060, Korea) ;
- Jung Sook Sakong (Department of Mathematics Education, Korea University, Seoul 136-701, Korea)
- 발행 : 1994.10.01
초록
Although the study of the limit points of discrete groups of M$\ddot{o}$bius transformations has been a fertile area for many decades, there are some very natural topological properties of the limit points which appear not to have been previously examined. Let $\Gamma$ be a nonelementary discrete group of hyperbolic isometries acting on the Poincare disc $B^m, m \geq 2$, and let $p \in \partial B^m$ be a limit point of $\Gamma$. By a neighborhood of p, we will always mean an open neighborhood of p in $\partial B^m$.
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