التفاصيل البيبلوغرافية
العنوان:
Experiments on growth series of braid groups
المؤلفون:
Jean Fromentin
المساهمون:
Laboratoire de Mathématiques Pures et Appliquées Joseph Liouville (LMPA), Université du Littoral Côte d'Opale (ULCO)
المصدر:
Journal of Algebra . 607:232-259
بيانات النشر:
Elsevier BV, 2022.
سنة النشر:
2022
مصطلحات موضوعية:
Pure mathematics , spherical growth series , Geodesic , Braid group , 68R15 Braid group , Group Theory (math.GR) , 2020 Mathematics Subject Classification. Primary 20F36 , 01 natural sciences , [MATH.MATH-GR]Mathematics [math]/Group Theory [math.GR] , Mathematics::Group Theory , Mathematics::Quantum Algebra , [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO] , 0103 physical sciences , FOS: Mathematics , Mathematics - Combinatorics , 0101 mathematics , Mathematics , algorithm , Algebra and Number Theory , Conjecture , Series (mathematics) , Secondary 20F69 , 010102 general mathematics , Mathematics::Geometric Topology , geodesic growth series , Combinatorics (math.CO) , 010307 mathematical physics , 20F10 , Mathematics - Group Theory
الوصف:
We introduce an algorithmic framework to investigate spherical and geodesic growth series of braid groups relatively to the Artin's or Birman–Ko–Lee's generators. We present our experimentations in the case of three and four strands and conjecture rational expressions for the spherical growth series with respect to the Birman–Ko–Lee's generators.
تدمد:
0021-8693
URL الوصول:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::527360c5dc2f11d48689b4830d7c115a https://doi.org/10.1016/j.jalgebra.2021.04.040
حقوق:
OPEN
رقم الأكسشن:
edsair.doi.dedup.....527360c5dc2f11d48689b4830d7c115a
قاعدة البيانات:
OpenAIRE
