Equivalent Pairs of Words and Points of Connection
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-09-08
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
Higman has defined coset diagrams for P G L ( 2 , Z ) .
The coset diagrams are composed of fragments, and the fragments are further composed of two or more circuits.
A condition for the existence of a certain fragment γ in a coset diagram is a polynomial f in Z [ z ] , obtained by choosing a pair of words F [ w i , w j ] such that both w i and w j fix a vertex v in γ.
Two pairs of words are equivalent if and only if they have the same polynomial.
In this paper, we find distinct pairs of words that are equivalent.
We also show there are certain fragments, which have the same orientations as those of their mirror images.
American Psychological Association (APA)
Mushtaq, Qaiser& Razaq, Abdul. 2014. Equivalent Pairs of Words and Points of Connection. The Scientific World Journal،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1049877
Modern Language Association (MLA)
Mushtaq, Qaiser& Razaq, Abdul. Equivalent Pairs of Words and Points of Connection. The Scientific World Journal No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-1049877
American Medical Association (AMA)
Mushtaq, Qaiser& Razaq, Abdul. Equivalent Pairs of Words and Points of Connection. The Scientific World Journal. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1049877
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1049877