Timeline for Applications of fusion systems
Current License: CC BY-SA 2.5
9 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 16, 2010 at 16:11 | vote | accept | zamanjan | ||
| Aug 16, 2010 at 4:28 | comment | added | Theo Johnson-Freyd | Jack Schmidt has an excellent answer below, so my comment might be moot, but I think the question could use improving. As it is, it is consistent with the possibility that OP saw some words on the internet and wrote a generic question about them. This is probably not what happened, but the question could include OP's answer above to Victor Protsak's comment, and other commentary, explaining why the interest in the question and what OP already knows. Also, please edit the title into a detailed question --- you have 240 characters --- it helps google find it. | |
| Aug 16, 2010 at 3:53 | comment | added | Jack Schmidt | So zamanjan's question is very good: They were designed to understand modular representation theory and group cohomology, but what good are they? | |
| Aug 16, 2010 at 3:50 | comment | added | Jack Schmidt | It actually had two parents, Puig and BLO. For Puig it was a common generalization of the way a finite group conjugates the subgroups of one of its Sylow p-subgroups and the way it conjugates the Brauer subpairs of the defect group of one of its p-blocks. For BLO it is the bare essentials for understanding a (p-completed) classifying space; it didn't quite define the homotopy of the space, but did define its cohomology. The extra glue is called a centric linking system, and the glued result is called a p-local group (but is just a topological space that is poorly understood). | |
| Aug 16, 2010 at 3:42 | comment | added | zamanjan | Roughly a fusion system on a p-group is a category whose objects are its subgroups and morphisms between them are injective group homomorphism satisfying some axioms. This is supposed to be a generalisation of the case when this p-group is a Sylow subgroup of some group and morphisms are given by conjugations. | |
| Aug 16, 2010 at 3:40 | answer | added | Jack Schmidt | timeline score: 13 | |
| Aug 16, 2010 at 2:50 | comment | added | Victor Protsak | What is a fusion system? | |
| Aug 16, 2010 at 2:19 | answer | added | Dan Ramras | timeline score: 2 | |
| Aug 16, 2010 at 1:42 | history | asked | zamanjan | CC BY-SA 2.5 |