REPRESENTING BRAIDS BY AUTOMORPHISMS

DOI10.1142/S0218196701000760zbMath1024.20036arXivmath/0203167MaRDI QIDQ4786306

Vladimir Shpilrain

Publication date: 15 December 2002

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0203167

zbMATH Keywords

braid groupsnormal formsArtin representationrepresentations by automorphisms

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36) Automorphisms of infinite groups (20E36)

Related Items

WADA'S REPRESENTATION IS OF BURAU TYPE ⋮ On a special single-power cyclic hypergroup and its automorphisms ⋮ On Representations of Braids as Automorphisms of Free Groups and Corresponding Linear Representations ⋮ Virtual and universal braid groups, their quotients and representations ⋮ Generalizations of the Wada representations and virtual link groups ⋮ Local representations of braid groups. ⋮ On some properties of single power cyclic hypergroups and regular relations ⋮ The interplay between linear representations of the braid group. ⋮ LEFT ORDERINGS AND QUOTIENTS OF THE BRAID GROUPS ⋮ The group of parenthesized braids. ⋮ Actions of the Braid Group, and New Algebraic Proofs of Results of Dehornoy and Larue ⋮ ON THE COMPOSITION OF THE BURAU REPRESENTATION AND THE NATURAL MAP B_n → B_nk

Cites Work

• A fast method for comparing braids
• Group invariants of links
• On braid words and irreflexivity
• On isotopies of homeomorphisms of Riemann surfaces
• Braid Groups and Left Distributive Operations