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Volume :25 Issue : 1 1998      Add To Cart                                                                    Download

The subgroup theorem for groups acting on trees

Auther : R. M. S. MAHMOOD

 Department of Mathematics, University of Bahrain, P0 Box 32038, ISA Town, State of Bahrain

   ABSTRACT

In this paper we show that if a group G acts on a tree X in general i.e. the action with inversions is allowed, and H is a subgroup of G, then it is possible to produce a presentation for H. From this presentation one obtains the subgroup theorem for free groups, free product of groups, free product of groups with amalgamation, tree product of groups and of HNN groups.

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