ON QUASI UNIVERSAL COVERS FOR GROUPS ACTING ON TREES WITH INVERSIONS

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MAHMOUD R.M.S.

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ISSN: 2588-4824

Journal Paper

Paper Information

Journal: Iranian Journal of Mathematical Sciences and Informatics Year:2007 | Volume:2 | Issue:1 Page(s): 39-45

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Title

ON QUASI UNIVERSAL COVERS FOR GROUPS ACTING ON TREES WITH INVERSIONS

Author(s)

MAHMOUD R.M.S. | Issue Writer Certificate

Keywords

GROUPS ACTING ON TREES WITH INVERSIONS

FUNDAMENTAL DOMAINS

QUASI UNIVERSAL COVER

ISOMORPHIC TREES

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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APA: Copy

MAHMOUD, R.M.S.. (2007). ON QUASI UNIVERSAL COVERS FOR GROUPS ACTING ON TREES WITH INVERSIONS. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI), 2(1), 39-45. SID. https://sid.ir/paper/310302/en

Vancouver: Copy

MAHMOUD R.M.S.. ON QUASI UNIVERSAL COVERS FOR GROUPS ACTING ON TREES WITH INVERSIONS. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI)[Internet]. 2007;2(1):39-45. Available from: https://sid.ir/paper/310302/en

IEEE: Copy

R.M.S. MAHMOUD, “ON QUASI UNIVERSAL COVERS FOR GROUPS ACTING ON TREES WITH INVERSIONS,” IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI), vol. 2, no. 1, pp. 39–45, 2007, [Online]. Available: https://sid.ir/paper/310302/en

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