Hilbert series of the braid monoid $MB_{4}$ in band generators

DOI10.3906/mat-1401-58zbMath1310.20048OpenAlexW2108345529MaRDI QIDQ5175549

Shamaila Yousaf, Zaffar Iqbal

Publication date: 24 February 2015

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-1401-58

zbMATH Keywords

braid groupsHilbert seriesGröbner-Shirshov basesbraid monoidsirreducible wordsband generatorsreducible words

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Free semigroups, generators and relations, word problems (20M05) Braid groups; Artin groups (20F36) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40)

Related Items (4)

Recurrence relations and Hilbert series of the monoid associated with star topology ⋮ A Gröbner-Shirshov basis over a special type of braid monoids ⋮ Growth series of the braid monoid \(\mathrm{MB}_5\) in band generators ⋮ Some recurrence relations and Hilbert series of right-angled affine Artin monoid \(M(\widetilde{D}_n^{\infty})\)

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