A note on the gröbner-shirshov bases over ad-hoc extensions of groups
| Autor: | Firat Ateş, I. Naci Cangul, Nurten Urlu, Eylem Güzel Karpuz, A. Sinan Çevik |
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| Přispěvatelé: | Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü., Cangül, İsmail Naci, J-3505-2017, ABA-6206-2020, Fen Edebiyat Fakültesi, Selçuk Üniversitesi, Karpuz Güzel, Eylem |
| Jazyk: | angličtina |
| Rok vydání: | 2015 |
| Předmět: |
Semidirect product
Iterated semidirect product General Mathematics Grobner-shirshov basis Mathematics::Rings and Algebras 010102 general mathematics Cyclic group 0102 computer and information sciences Presentation 01 natural sciences Generators Combinatorics Algebra Knit product Free Associative Algebras Mathematics Irreducible Module 010201 computation theory & mathematics Wreath product Iterated function Braid group Word problem (mathematics) Products 0101 mathematics Mathematics applied |
| Popis: | WOS: 000378403800018 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. |
| Databáze: | OpenAIRE |
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