and childbirth. In Chapter Two we give a generalisation of Shimizu's Lemma to groups of isometries of quaternionic hyperbolic 2 space containing a screw parabolic element. In Chapter Three we present the Jordan algebra model of the octonionic hyperbolic plane and develop a generalisation of Shimizu's Lemma to groups of isometries of octonionic hyperbolic 2 space containing a parabolic map. We use this result to determine estimates of lower bounds on the volumes of non compact closed octonionic 2 manifolds.
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