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It is known that if there exists a Gröbner-Shirshov basis for a group G, then we say that one of the decision problem, namely the word problem, is solvable for… Click to show full abstract
It is known that if there exists a Gröbner-Shirshov basis for a group G, then we say that one of the decision problem, namely the word problem, is solvable for G as well. Therefore, as the main target of this paper, we will present a (non-commutative) Gröbner-Shirshov basis for the braid group associated with the congruence classes of complex reflection group G12 which will give us normal forms of the elements of G12 and so will obtain a new algorithm to solve the word problem over it.
Keywords:
complex reflection;
word problem;
group;
reflection group;
problem
Journal Title: Filomat
Year Published: 2020
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Journal Title: Filomat
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!