Timeline for Intersections of conjugates of Lie subgroups
Current License: CC BY-SA 2.5
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 3, 2012 at 10:09 | vote | accept | Mark Grant | ||
| Mar 18, 2011 at 16:43 | comment | added | Jack Schmidt | @Mark Grant: More exotic intersections are certainly possible: Take G=Alt(6) wr Sym(2), H=Alt({1..6})×Alt({7..11}), then H is self-normalizing. The conjugates of H are just point stabilizers, and the intersection of conjugates are just 2-point stabilizers. The stabilizer of 11, 12 is Alt({1..6})×Alt({7..10)}≅A6×A4. The stabilizer of 6, 12 is Alt({1..5})×Alt({7..11})≅A5×A5. Similar ideas happen in any wreath product, but this one was chosen so that H is self-normalizing (so that a point stabilizer moves all other points) and perfect. I don't know a connected version of the wreath product. | |
| Mar 13, 2011 at 11:06 | history | edited | Jack Schmidt | CC BY-SA 2.5 |
sharply 2-trans
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| Mar 13, 2011 at 10:40 | history | answered | Jack Schmidt | CC BY-SA 2.5 |