Dunwoody Parameters and Abstract Groups
Nurullah Ankaralioglu*, Inci Gultekin and Huseyin Aydin* Author for corresponding; e-mail address: ankarali@atauni.edu.tr
Volume: Vol.31 No.3 September 2004
Research Article
DOI:
Received: 31 March 2004, Revised: -, Accepted: 18 August 2004, Published: -
Citation: Ankaralioglu N., Gultekin I. and Aydin H., Dunwoody Parameters and Abstract Groups , Chiang Mai Journal of Science, 2004; 31(3): 193-196.
Abstract
We have proved in this paper that cyclically presented groups obtained using the wordw connected with Dunwoody parameters (a,b,c,r) = (1,0,c,2) are associated with the abstract groups S((d+1)/2,d) when c is odd and d = 2a+b+c. We also gave two different examples to illustrate how to apply our result to particular problems in application.