Monoide di treccia singolare positiva

Autori

  • Panagiote Ligouras I.I.S.S. “Da Vinci – Agherbino” – Noci (BA)

Parole chiave:

Treccia, Treccia singolare positiva, Monoidi treccia singolare positiva

Abstract

Lo scopo di questo articolo è quello di descrivere la struttura dei monoidi SBn+ e provare alcune nuove proprietà. Secondo scopo dell’articolo è presentare l’esperienza svolta con docenti di matematica e studenti da 17 a 21 anni di età inerente i monoidi SBn+ e osservare come questi concetti siano stati percepiti.

Biografia autore

Panagiote Ligouras, I.I.S.S. “Da Vinci – Agherbino” – Noci (BA)

Researcher and teacher of mathematics and computer science. Passionate about mathematical problem-solving, ICT, didactic communication and online and Blended educational activities. It also deals with learning and evaluation processes in various training and system contexts.
He is the author of numerous scientific papers.

Riferimenti bibliografici

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J.S. Birman, (1974). Braids, Links and Mapping Class Groups, Annals of Math. Studies 82, Princeton Univ. Press.

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J.S. Birman, K.H. Ko, S.J. Lee, (1998). A new approach to the word and the conjugacy problem in the braid groups, Adv. Math. 139, pp. 322-353.

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B.A. Cisneros De la Cruz, G. Gandolfi, (2019). Algebraic, combinatorial and topological properties of singular virtual braid monoids, Journal of Knot Theory and Its Ramifications, Vol. 28 (10), 1950069.

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D.L. Johnson, (1997). Presentations of groups, Cambridge University Press, United Kingdom.

V. Jugé, (2016). Combinatorics of braids, PhD Thesis.http://www-igm.univ-mlv.fr/~juge/papers/PhD-Thesis.pdf

E.-K. Lee, (2010). A positive presentation for the pure braid group, Journal of the Chungcheong Mathematical Society, Vol. 23, No. 3, pp. 555-561.

P. Ligouras, (2020). Semigroups, monoids and free groups, Experiences of Teaching with Mathematics, Sciences and Technology, ISSN 2421-7247, Vol. 5, pp. 515-526.

V. Lin, (2004). Braids and Permutations, Arxiv: math.GR/0404528.

R.C. Lyndon, P.E. Schupp, (1977). Combinatorial group theory, Springer-Verlag, Berlin, Heidelberg, New York.

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S. Moran, (1983). The Mathematical Theory of Knots and Braids, North–Holland Mathematics Studies, vol. 82, Elsevier, Amsterdam.

L. Paris, (2009). Braid groups and Artin groups, in A. Papadopoulos (editor), Handbook of Teichmüller Theory, Volume II, European Mathematical Society Publishing House, Zürich.

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J.J. Rotman, (1995). An introduction to the theory of groups, 4 th ed., Springer-Verlag New York, Ine.

V. Vershinin, (2010). On the singular braid monoid, St. Petersburg Math. J., Vol. 21, No. 5, pp.693-704.

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Pubblicato

2020-07-15

Come citare

Ligouras, P. (2020). Monoide di treccia singolare positiva. EDiMaST: Esperienze Didattiche Con Matematica, Scienze E Tecnologia, 5, 675–687. Recuperato da https://www.edimast.it/index.php/edimast/article/view/68

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Sezione

Articoli - Esperienze e Ricerca

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