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- W1603688891 abstract "The word problem of a group is an important question. The word problem in the braid group is of particular interest for topologists, algebraists and geometers. In [7] we have looked at the braid group from a topological point of view, and thus using a new computerized representation of some elements of the fundamental group we gave a solution for its word problem. In this paper we will give an algorithm that will make it possible to transform the new geometric presentation from [7] into a syntactic one. This will make it possible to computerize the group operation to sets of elements of the fundamental group, called a g-base, which are isomorphic to the braid group. Moreover, we will show that it is sufficient enough to look at the syntactic presentation in order to solve the braid word problem, resulting with a faster braid word solution." @default.
- W1603688891 created "2016-06-24" @default.
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- W1603688891 date "2003-01-01" @default.
- W1603688891 modified "2023-09-27" @default.
- W1603688891 title "Solving the Braid Word Problem Via the Fundamental Group" @default.
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- W1603688891 doi "https://doi.org/10.1007/978-93-86279-12-5_19" @default.
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