Title: Surface Subgroups of Graph Groups (download pdf)

Authors: Carl Droms, Brigitte Servatius and Herman Servatius

Reference: Proc. Amer. Math. Soc., \vol{106}, 3, 573--578, 1989.

Abstract: A group group is a finitely presented group with the only relations being that certain pairs of generators commute. Graphs groups are convenient models for parallel processing systems in which the operations are reverable. In this paper we show that many simple graph groups have subgroups which are surface groups.

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