Abstract
In this paper, we consider the natural action of $$\textrm{SL}(3, \mathbb {H})$$ on the quaternionic projective space $$ {\mathbb {P}}_{\mathbb {H}}^2$$ . Under this action, we investigate limit sets for cyclic subgroups of $$\textrm{SL}(3, \mathbb {H})$$ . We compute two types of limit sets, which were introduced by Kulkarni and Conze-Guivarc’h, respectively.
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