Developments in finite Phan theory
| Autor: | Ralf Gramlich |
|---|---|
| Rok vydání: | 2009 |
| Předmět: |
51-06
20-06 Combinatorial topology 05-06 05E25 Solomon-Tits theorem building twin building 57Q10 57-06 Mathematics Discrete mathematics 20D06 Coxeter group Phan's presentation 20D05 51A50 amalgam Curtis-Tits presentation 51B25 51E24 Areas of mathematics Geometric group theory Algebraic group algebraic group presentation Group theory |
| Zdroj: | Innov. Incidence Geom. 9, no. 1 (2009), 123-175 |
| ISSN: | 2640-7345 2640-7337 |
| Popis: | Geometric methods in the theory of Chevalley groups and their generalisations have made tremendous advances during the last few decades. Among the most noteworthy and influential of these advances are the systematic application of the concept of amalgams based on [52], [62], [118], the local-to-global approach [137] in the Coxeter Festschrift [51], ingenious applications of combinatorial topology and geometric group theory (as in [2], [94], [95], [102], [138]), the theory of abstract root groups [128], [130], [131], and the interaction of Kac-Moody groups and twin buildings [37], [38], [39], [42], [41], [139], [141]. These methods have proven fruitful over and over again in proving, simplifying and generalising several results in group theory and have had their impact in other areas of mathematics. |
| Databáze: | OpenAIRE |
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