Timeline for less elementary group theory
Current License: CC BY-SA 2.5
27 events
| when toggle format | what | by | license | comment | |
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| Jul 16, 2010 at 9:02 | answer | added | Colin Reid | timeline score: 2 | |
| Feb 3, 2010 at 14:58 | answer | added | Steve D | timeline score: 5 | |
| Dec 16, 2009 at 9:50 | answer | added | Harrison Brown | timeline score: 4 | |
| Dec 16, 2009 at 9:27 | answer | added | Adam Libster | timeline score: 5 | |
| Dec 9, 2009 at 6:00 | answer | added | HJRW | timeline score: 11 | |
| Dec 9, 2009 at 5:36 | history | edited | user577 | CC BY-SA 2.5 |
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| Dec 9, 2009 at 2:56 | comment | added | Harry Gindi | My mistake! I meant a homomorphism into the aut(G). | |
| Dec 9, 2009 at 2:33 | vote | accept | CommunityBot | moved from User.Id=577 by developer User.Id=69903 | |
| Dec 9, 2009 at 2:09 | comment | added | S. Carnahan♦ | @fpqc: The term "automorphic representation" is reserved for a special class of actions of locally compact groups on infinite dimensional Hilbert spaces. | |
| Dec 9, 2009 at 1:01 | answer | added | Noah Snyder | timeline score: 18 | |
| Dec 9, 2009 at 0:47 | history | made wiki | Post Made Community Wiki by user577 | ||
| Dec 9, 2009 at 0:12 | comment | added | Ben Webster♦ | I mean, if you just want to know more about group theory, go skim a book on group theory. I like Derek Robinson's "A Course in the Theory of Groups." It starts with the basics and does a lot of things past what you've described. If you get stuck somewhere, then come back and ask a question about THAT. | |
| Dec 9, 2009 at 0:07 | comment | added | Ben Webster♦ | David- your question is already much improved, though there is another appropriateness point worth making. A good MathOverflow question is one that can reasonably hope could be answered in a few paragraphs; I think your question needs a several page article, probably a book. So the answer to your question is not really one that can be supplied within the limitations of the site. This is under "MO is not an encylopedia" in the FAQ. In general, asking such a question is a sign you need to think more carefully about what you really want to know. | |
| Dec 8, 2009 at 20:08 | history | edited | user577 | CC BY-SA 2.5 |
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| Dec 8, 2009 at 20:01 | history | edited | user577 | CC BY-SA 2.5 |
edit for conformance
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| Dec 8, 2009 at 19:57 | answer | added | janmarqz | timeline score: -1 | |
| Dec 8, 2009 at 19:46 | history | edited | user577 | CC BY-SA 2.5 |
changed S_n to group actions
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| Dec 8, 2009 at 19:37 | history | edited | user577 | CC BY-SA 2.5 |
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| Dec 8, 2009 at 19:05 | answer | added | Ben Webster♦ | timeline score: 7 | |
| Dec 8, 2009 at 19:02 | comment | added | Harry Gindi | I think he means automorphic representations of groups on other groups, i.e. group actions. | |
| Dec 8, 2009 at 19:01 | comment | added | Ben Webster♦ | @davidk01: Nope. Does $S_n$-representation mean a map into $S_n$ to you? Because to the rest of us it means a linear representation of $S_n$, which has nothing to do with the SYlow theorems. | |
| Dec 8, 2009 at 18:46 | comment | added | Noah Snyder | Typically when one says "representation" one means a "linear representation." Group actions are a sort of representation in an older fashioned use of the words (you're representing the group by an action on a set rather than an action on a vector space), but in modern language representation means linear representation. | |
| Dec 8, 2009 at 18:44 | comment | added | Harry Gindi | I'm going to go out on a limb here and say that your question isn't specific enough. Once you leave finite group theory, the subject branches out to a huge number of fields, Lie groups, algebraic groups, et cetera. So in general, there's no simple formula like you've described for "more advanced group theory," since the field is so vast. | |
| Dec 8, 2009 at 18:15 | comment | added | Qiaochu Yuan | One example is representation theory: en.wikipedia.org/wiki/Burnside_theorem | |
| Dec 8, 2009 at 18:03 | comment | added | Noah Snyder | It's not clear to me what group theory is taught in an introductory graduate class, as it'll vary a lot by the teacher and school. So to understand your question I'd like more details about the kind of results you're referring to and which kinds of more advanced group theory you're interested in. My guess is that you're talking about the Sylow thoerems and that by S_n-representations you actually mean group actions? | |
| Dec 8, 2009 at 17:46 | comment | added | Alicia Garcia-Raboso | @davidk1: Maybe you could give an example of the results you are talking about. | |
| Dec 8, 2009 at 17:41 | history | asked | user577 | CC BY-SA 2.5 |