Geodesic
Gr\"{o}bner--Shirshov Bases for Extended modular, Extended Hecke, and Picard Groups
Matematičeskie zametki, Tome 92 (2012) no. 5, pp. 699-706

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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. 
@article{MZM_2012_92_5_a5,
     author = {E. G. Karpuz and A. S. Cevik},
     title = {Gr\"{o}bner--Shirshov {Bases} for {Extended} modular, {Extended} {Hecke,} and {Picard} {Groups}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {699--706},
     publisher = {mathdoc},
     volume = {92},
     number = {5},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2012_92_5_a5/}
}
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E. G. Karpuz; A. S. Cevik. Gr\"{o}bner--Shirshov Bases for Extended modular, Extended Hecke, and Picard Groups. Matematičeskie zametki, Tome 92 (2012) no. 5, pp. 699-706. http://geodesic.mathdoc.fr/item/MZM_2012_92_5_a5/