Abstract

L. A. Bokut gave a Gröbner--Shirshov basis of the braid group B_n in band generators. Using this presentation and solving all the ambiguities we construct a linear system for irreducible words and compute the Hilbert series of the braid monoid MB_4.

DOI

10.3906/mat-1401-58

Keywords

Braid monoids, Gröbner--Shirshov basis, reducible and irreducible words, Hilbert series

First Page

977

Last Page

984

Recommended Citation

IQBAL, Z, & YOUSAF, S (2014). Hilbert series of the braid monoid MB_4 in band generators. Turkish Journal of Mathematics 38 (6): 977-984. https://doi.org/10.3906/mat-1401-58

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