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Matematicheskie Zametki, 2012, Volume 92, Issue 5, Pages 699–706
DOI: https://doi.org/10.4213/mzm10128 (Mi mzm10128) 		 
This article is cited in 10 scientific papers (total in 10 papers)

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

E. G. Karpuza, A. S. Cevikb

a Karamanoğlu Mehmetbey University
b Selçuk University
Full-text PDF (488 kB) Citations (10)
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DOI: https://doi.org/10.4213/mzm10128
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.
Received: 26.12.2008
English version:
Mathematical Notes, 2012, Volume 92, Issue 5, Pages 636–642
DOI: https://doi.org/10.1134/S0001434612110065
Bibliographic databases:
Document Type: Article
UDC: 512.54
Language: Russian
Citation: E. G. Karpuz, A. S. Cevik, “Gröbner–Shirshov Bases for Extended modular, Extended Hecke, and Picard Groups”, Mat. Zametki, 92:5 (2012), 699–706; Math. Notes, 92:5 (2012), 636–642
Citation in format AMSBIB
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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