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학술저널

A POSITIVE PRESENTATION FOR THE PURE BRAID GROUP

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For the pure braid groups, this paper gives a positive ¯nite presentation whose generators are the standard Artin gen- erators, and determines whether the submonoid generated by the Artin generators is a Garside monoid or not.

1. Introduction

2. Garside monoids and groups

3. Proof of Theorem 1.1

4. Proof of Theorem 1.2

Acknowledgements

References

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