Birman, Joan S. Book review of: Christian Kassel and Vladimir Turaev, Braid groups; Patrick Dehornoy, Ivan Dynnikov, Dale Rolfsen and Bert Wiest, Ordering braids. (English) Zbl 1292.00013 Bull. Am. Math. Soc., New Ser. 48, No. 1, 137-146 (2011). Review of [Zbl 1208.20041; Zbl 1163.20024]. Cited in 1 Document MSC: 00A17 External book reviews 20-02 Research exposition (monographs, survey articles) pertaining to group theory 20F36 Braid groups; Artin groups 20F60 Ordered groups (group-theoretic aspects) 03E10 Ordinal and cardinal numbers 20F34 Fundamental groups and their automorphisms (group-theoretic aspects) 20F10 Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) 20F38 Other groups related to topology or analysis 57M25 Knots and links in the \(3\)-sphere (MSC2010) 57M50 General geometric structures on low-dimensional manifolds 51M09 Elementary problems in hyperbolic and elliptic geometries 68Q25 Analysis of algorithms and problem complexity 68Q70 Algebraic theory of languages and automata 68W30 Symbolic computation and algebraic computation 20C08 Hecke algebras and their representations 20C25 Projective representations and multipliers 20F05 Generators, relations, and presentations of groups 20M05 Free semigroups, generators and relations, word problems 20N02 Sets with a single binary operation (groupoids) 06F15 Ordered groups 55R80 Discriminantal varieties and configuration spaces in algebraic topology Citations:Zbl 1208.20041; Zbl 1163.20024 × Cite Format Result Cite Review PDF Full Text: DOI References: [1] S. 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Knot theory and its applications. · Zbl 0933.57005 · doi:10.1016/S0960-0779(97)00107-0 [38] Lee Rudolph, Algebraic functions and closed braids, Topology 22 (1983), no. 2, 191 – 202. · Zbl 0505.57003 · doi:10.1016/0040-9383(83)90031-9 [39] Hamish Short and Bert Wiest, Orderings of mapping class groups after Thurston, Enseign. Math. (2) 46 (2000), no. 3-4, 279 – 312. · Zbl 1023.57013 [40] Pierre Vogel, Representation of links by braids: a new algorithm, Comment. Math. Helv. 65 (1990), no. 1, 104 – 113. · Zbl 0703.57004 · doi:10.1007/BF02566597 [41] Shuji Yamada, The minimal number of Seifert circles equals the braid index of a link, Invent. Math. 89 (1987), no. 2, 347 – 356. · Zbl 0634.57004 · doi:10.1007/BF01389082 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.