This article is cited in 10 papers

Gröbner–Shirshov Bases for Extended modular, Extended Hecke, and Picard Groups

E. G. Karpuz^a, A. S. Cevik<sup>b

a</sup> Karamanoğlu Mehmetbey University
^b Selçuk University

Abstract: In this paper, Gröbner–Shirshov bases (noncommutative) for extended modular, extended Hecke and Picard groups are considered. A new algorithm for obtaining normal forms of elements and hence solving the word problem in these groups is proposed.

Keywords: extended modular group, extended Hecke group, Gröbner–Shirshov bases, word problem.

UDC: 512.54

Received: 26.12.2008

DOI: 10.4213/mzm10128

 English version: Mathematical Notes, 2012, 92:5, 636–642

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