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A note on the gröbner-shirshov bases over ad-hoc extensions of groups

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Cangül, İsmail Naci

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Karpuz, Eylem G.
Ateş, Fırat
Urlu, Nurten
Çevik, A. Sinan

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Univ Nis

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Abstract

The main goal of this paper is to obtain (non-commutative) Grobner-Shirshov bases for monoid presentations of the knit product of cyclic groups and the iterated semidirect product of free groups. Each of the results here will give a new algorithm for getting normal forms of the elements of these groups, and hence a new algorithm for solving the word problem over them.

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Mathematics, Grobner-shirshov basis, Presentation, Knit product, Iterated semidirect product, Braid group, Generators, Products

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Karpuz, E. G. vd. (2016). "A note on the gröbner-shirshov bases over ad-hoc extensions of groups". Filomat, 30(4), 1037-1043.

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