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Please use this identifier to cite or link to this item: http://hdl.handle.net/11452/32979
Title: A note on the gröbner-shirshov bases over ad-hoc extensions of groups
Authors: Karpuz, Eylem G.
Ateş, Fırat
Urlu, Nurten
Çevik, A. Sinan
Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü.
0000-0002-0700-5774
Cangül, İsmail Naci
J-3505-2017
ABA-6206-2020
57189022403
Keywords: Mathematics
Grobner-shirshov basis
Presentation
Knit product
Iterated semidirect product
Braid group
Generators
Products
Issue Date: 16-Oct-2015
Publisher: Univ Nis
Citation: Karpuz, E. G. vd. (2016). "A note on the gröbner-shirshov bases over ad-hoc extensions of groups". Filomat, 30(4), 1037-1043.
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.
URI: https://doi.org/10.2298/FIL1604037K
https://www.jstor.org/stable/24898674
http://hdl.handle.net/11452/32979
ISSN: 0354-5180
Appears in Collections:Scopus
Web of Science

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