Book review of: P. Dehornoy et al., Foundations of Garside theory. (English) Zbl 1401.00021
Review of [Zbl 1370.20001].
MSC:
00A17 | External book reviews |
20-02 | Research exposition (monographs, survey articles) pertaining to group theory |
20F36 | Braid groups; Artin groups |
20F55 | Reflection and Coxeter groups (group-theoretic aspects) |
20M05 | Free semigroups, generators and relations, word problems |
20N02 | Sets with a single binary operation (groupoids) |
06F05 | Ordered semigroups and monoids |
06F15 | Ordered groups |
18B40 | Groupoids, semigroupoids, semigroups, groups (viewed as categories) |
16T25 | Yang-Baxter equations |
Citations:
Zbl 1370.20001References:
[1] | Artin, E.: Theory of braids. Ann. Math. 48, 101-126 (1947) · Zbl 0030.17703 · doi:10.2307/1969218 |
[2] | Baer, R.: Free sums of groups and their generalizations. An analysis of the associative law. Am. J. Math. 71, 706-742 (1949) · Zbl 0033.34504 · doi:10.2307/2372361 |
[3] | Bessis, D.: Finite complex reflection arrangements are K(π,1)\( \text{K}(\pi ,1)\). Ann. Math. 181(3), 809-904 (2015) · Zbl 1372.20036 · doi:10.4007/annals.2015.181.3.1 |
[4] | Brieskorn, E., Saito, K.: Artin-Gruppen und Coxeter-Gruppen. Invent. Math. 17, 245-271 (1972) · Zbl 0243.20037 · doi:10.1007/BF01406235 |
[5] | Deligne, P.: Les immeubles des groupes de tresses généralisés. Invent. Math. 17, 273-302 (1972) · Zbl 0238.20034 · doi:10.1007/BF01406236 |
[6] | Deligne, P.: Action du groupe des tresses sur une catégorie. Invent. Math. 128, 159-175 (1997) · Zbl 0879.57017 · doi:10.1007/s002220050138 |
[7] | Krammer, D.: A class of Garside groupoid structures on the pure braid group. Trans. Am. Math. Soc. 360(8), 4029-4061 (2008) · Zbl 1194.20040 · doi:10.1090/S0002-9947-08-04313-4 |
[8] | Wyler, O.: Clans. Compos. Math. 17, 172-189 (1965) · Zbl 0146.02004 |
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