JP Journal of Algebra, Number Theory and Applications
Volume 5, Issue 2, Pages 349 - 368
(August 2005)
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ON EMBEDDING CERTAIN GROUPS INTO GROUPS ACTING ON TREES WITH INVERSIONS
R. M. S. Mahmood (U. A. E.)
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Abstract: In this paper we show that if G is a group acting on a tree X with inversions, then every subfundamental domain (T; Y) induces a group H and a tree denoted XH on which H acts with inversions such that H is embedded in G and XH is embedded in X. We apply the result to tree product of groups and to a new class of groups called quasi HNN groups. |
Keywords and phrases: groups acting on trees with inversions, subfundamental domains, embedding theorem, tree product of groups, quasi HNN groups. |
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