Timeline for Convenient reference for subgroups of a finite semidirect product?
Current License: CC BY-SA 3.0
9 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 19, 2012 at 15:00 | comment | added | Jim Humphreys | @Nick: Thanks for the specific reference, which I'll pass along. | |
| Jul 18, 2012 at 9:39 | comment | added | Nick Gill | Suzuki's "Group Theory" volume 1, Chapter 2, Section 7 is devoted to "Extensions of groups and cohomology theory". It's got a lot of good stuff in it (38 pages worth) but I don't know if it's got what your student needs... Worth a browse though if s/he hasn't looked at it already. | |
| Jul 10, 2012 at 21:54 | vote | accept | Jim Humphreys | ||
| Jul 10, 2012 at 21:52 | comment | added | Jim Humphreys | @Russ: It didn't even occur to me to check stackexchange after looking over past entries here. I'm not sure what the dividing line between the two sites is, but the question did strike me as somewhat sophisticated while also probably "standard" in the literature. I can access a very short review of Rosenbaum (but not the article). | |
| Jul 10, 2012 at 19:23 | comment | added | Russ Woodroofe | An idle web search found that the same question came up on math.stackexchange.com a couple of years ago. See math.stackexchange.com/questions/5153/… . In addition to the Usenko result that Bugs gives below, a reference is also given there to a paper of Rosenbaum "Die Untergruppen von halbdirekten Produkten". | |
| Jul 10, 2012 at 16:49 | answer | added | Bugs Bunny | timeline score: 6 | |
| Jul 9, 2012 at 23:38 | comment | added | Russ Woodroofe | I'll also point out that the mathreviews entry for the Thevenaz paper ("Maximal subgroups of direct products") says that the description of subgroups of G x H was earlier in Suzuki's "Group Theory I". On the other hand, the Thevenaz paper is now freely available from any internet connection, while not everyone has Suzuki's book. | |
| Jul 9, 2012 at 23:28 | comment | added | Dan Ramras | Thevenaz has a (rather elementary) paper discussing maximal subgroups of direct products (J. Alg, 1997). He points out that subgroups of GxH can be described in terms of graphs of homomorphisms G->H. There might be some sort of generalization to semi-direct products using some kind of twisted homomorphisms? I recall having thought about this years ago, but I don't think I got anywhere. | |
| Jul 9, 2012 at 22:48 | history | asked | Jim Humphreys | CC BY-SA 3.0 |