Graph theoretic method for determining Hurwitz equivalence in the symmetric group.

DOI10.1007/BF02776050zbMath1066.20003arXivmath/0110110OpenAlexW2018614037MaRDI QIDQ1424029

T. Ben-Itzhak, Mina Teicher

Publication date: 8 March 2004

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0110110

zbMATH Keywords

symmetric groupsgraphsHurwitz equivalencesfactorizations in braid groups

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Braid groups; Artin groups (20F36) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Topological methods in group theory (57M07) Symmetric groups (20B30)

Related Items (9)

The Hurwitz action in complex reflection groups ⋮ Connected components of affine primitive permutation groups ⋮ Hurwitz orbits on reflection factorizations of parabolic quasi-Coxeter elements ⋮ Unnamed Item ⋮ Unknotting singular surface braids by crossing changes ⋮ A poset structure on the alternating group generated by 3-cycles ⋮ Connectivity properties of factorization posets in generated groups ⋮ The Hurwitz action in complex reflection groups ⋮ A note on the Hurwitz action on reflection factorizations of Coxeter elements in complex reflection groups

Cites Work

• Braid monodromy factorizations and diffeomorphism types
• Unnamed Item

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