Volume 2, Issue 1 (May 2007)
IJMSI 2007, 2(1): 39-45 |
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R. M. S. Mahmood. ON QUASI UNIVERSAL COVERS FOR GROUPS ACTING ON TREES WITH INVERSIONS. IJMSI 2007; 2 (1) :39-45
URL: http://ijmsi.ir/article-1-56-en.html
URL: http://ijmsi.ir/article-1-56-en.html
Abstract:
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 &tildeG and a tree &tildeX induced by (T Y ) such that &tildeG acts on &tildeX with inversions, G is isomorphic to &tilde G, and X is isomorphic to &tildeX. The pair (&tilde G &tildeX) is called the quasi universal cover of (GX) induced by the (T Y ).
Keywords: Groups acting on trees with inversions, Fundamental domains, Quasi universal cover, Isomorphic trees.
Type of Study: Research paper |
Subject:
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