Timeline for What invariants of a matrix or representation can be used to find its GL(n,Z)-conjugacy class?
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
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| Jul 13, 2011 at 2:26 | history | edited | Vipul Naik | CC BY-SA 3.0 |
Fixed an incorrect side statement which claimed that the "character determines the representation"
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| Jul 8, 2011 at 22:30 | vote | accept | Vipul Naik | ||
| Jul 8, 2011 at 2:07 | answer | added | David E Speyer | timeline score: 11 | |
| Jul 6, 2011 at 0:09 | comment | added | François Brunault | There are examples of outer automorphisms $\varphi : G \to G$ such that for all $g \in G$, $\varphi(g)$ is conjugate to $g$. Maybe composing a faithful representation with such an automorphism could give a counterexample to Question 2 ? | |
| Jul 5, 2011 at 23:48 | answer | added | Alex Eskin | timeline score: 23 | |
| Jul 5, 2011 at 23:04 | comment | added | Geoff Robinson | I think you are awfully close with the Klein 4 example. The idea, as you probably know already, would be to construct a representation which is free for every cyclic subgroup, but not free for the Klein 4-group itself. Then the representation would locally conjugate, bout not equivalent, to a free representation. | |
| Jul 5, 2011 at 22:42 | history | asked | Vipul Naik | CC BY-SA 3.0 |