Complete presentation and Hilbert series of the mixed braid monoid $MB_{1,3}$

Authors

  • Zaffar Iqbal Department of Mathematics, University of Gujrat, Pakistan
  • Muhammad Mobeen Munir Department of Mathematics, University of Gujrat, Pakistan
  • Abdul Rauf Nizami Faculty of Information Technology, University of Central Punjab, Lahore, Pakistan

DOI:

https://doi.org/10.33044/revuma.3479

Abstract

The Hilbert series is the simplest way of finding dimension and degree of an algebraic variety defined explicitly by polynomial equations. The mixed braid groups were introduced by Sofia Lambropoulou in 2000. In this paper we compute the complete presentation and the Hilbert series of the canonical words of the mixed braid monoid $MB_{1,3}$.

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References

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Published

2024-09-25

Issue

Vol. 67 No. 2 (2024)

Section

Article

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Copyright (c) 2024 Zaffar Iqbal, Muhammad Mobeen Munir, Abdul Rauf Nizami

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