### On Limit Sets of 4-dimensional Kleinian Groups with 3 Generators

Keita SAKUGAWA
Source: Tokyo J. of Math. Volume 33, Number 1 (2010), 165-182.

#### Abstract

In this paper, we consider a quaternionic representation of a 4-dimensional Kleinian group $G$ with 3 generators $f,g$ and $h$, where $g$ and $h$ are simple parabolic, $[g,h]= id$, and $[f,g],[f,h]$ are order-2 elliptic elements. We parameterize such $f,g$ and $h$ up to conjugacy and we simulate the shape of the limit set $\Lambda(G)$ using computer.

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Permanent link to this document: http://projecteuclid.org/euclid.tjm/1279719585
Digital Object Identifier: doi:10.3836/tjm/1279719585
Zentralblatt MATH identifier: 05776106
Mathematical Reviews number (MathSciNet): MR2682888

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