Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

Article

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Commun. Korean Math. Soc. 2009; 24(4): 501-508

Printed December 1, 2009

https://doi.org/10.4134/CKMS.2009.24.4.501

Copyright © The Korean Mathematical Society.

A new representation algorithm in a free group

Su-Jeong Choi

Dong-A University

Abstract

This paper presents a new representation algorithm which computes the representation for elements of a free group generated by two linear fractional transformations and also the justification of the algorithm in order to show how it operates correctly and efficiently according to inputs.

Keywords: linear fractional transformation, free group, representation, algorithm

MSC numbers: Primary 20C20, 20F05