On the generators of the edge stabilizers of groups acting on trees
Source
The Arabian Journal for Science and Engineering. Section A, Science
Issue
Vol. 22, Issue 2A (31 Jul. 1997), pp.207-212, 6 p.
Publisher
King Fahd University of Petroleum and Minerals
Publication Date
1997-07-31
Country of Publication
Saudi Arabia
No. of Pages
6
Main Subjects
Abstract EN
In this paper we prove that if G is a group acting on a tree X such that the set of vertices of the quotient graph X/G is finite, then: (j) if the stabilizer Gx of each edge x of X is finitely generated, then G is finitely generated if and only if X/G is finite and the stabilizer Gy of each vertex v of X is finitely generated; (») if the stabilizer Gv of each vertex v of X is finitely presented then G is finitely presented if and only if X/G is finite and the stabilizer Gi of each edge x of X is finitely generated.
American Psychological Association (APA)
Mahmud, Rashid M. S.. 1997. On the generators of the edge stabilizers of groups acting on trees. The Arabian Journal for Science and Engineering. Section A, Science،Vol. 22, no. 2A, pp.207-212.
https://search.emarefa.net/detail/BIM-390033
Modern Language Association (MLA)
Mahmud, Rashid M. S.. On the generators of the edge stabilizers of groups acting on trees. The Arabian Journal for Science and Engineering. Section A, Science Vol. 22, no. 2A (Jul. 1997), pp.207-212.
https://search.emarefa.net/detail/BIM-390033
American Medical Association (AMA)
Mahmud, Rashid M. S.. On the generators of the edge stabilizers of groups acting on trees. The Arabian Journal for Science and Engineering. Section A, Science. 1997. Vol. 22, no. 2A, pp.207-212.
https://search.emarefa.net/detail/BIM-390033
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 212
Record ID
BIM-390033