Abstract
In this paper we show that if G is a group acting on a tree X with inversions and if (T;Y ) is a fundamental domain for the action of G on X, then there exist a group ˜ G and a tree ˜ X induced by (T;Y ) such that ˜ G acts on ˜ X with inversions, G is isomorphic to ˜ G, and X is isomorphic to ˜ X. The pair ( ˜ G; ˜ X) is called the quasi universal cover of (G;X) induced by the (T;Y ).
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