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 |
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.
