Timeline for A simple group with 3 generators
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| 4 hours ago | comment | added | LSpice | @MattZaremsky's references: Guba - A finitely generated simple group with free 2-generated subgroups and Radu - New simple lattices in products of trees and their projections. | |
| 4 hours ago | comment | added | Matt Zaremsky | I don't know of a finitely presented (infinite) simple group that is definitively known to not be 2-generated, but there is a finitely generated simple group that is definitively not 2-generated (link.springer.com/article/10.1007/BF00969195) and a finitely presented (5 generators and 10 relations, so, pretty short) simple group in Corollary IV(ii) of (arxiv.org/pdf/1712.01091) that maybe someone who's good at computational manipulations could check whether or not it's 2-generated. | |
| 5 hours ago | comment | added | YCor | One natural question is to find a f.g. simple group generated by 3 but not 2 elements, another is to fine a finitely presentable one. But I don't immediately see the point of asking a "short finite presentation", especially to start with. | |
| 6 hours ago | history | asked | Geoffrey Irving | CC BY-SA 4.0 |