Timeline for The number in the join of conjugate class and centralizer
Current License: CC BY-SA 3.0
9 events
when toggle format | what | by | license | comment | |
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May 16, 2012 at 13:01 | answer | added | Nick Gill | timeline score: 1 | |
May 16, 2012 at 12:49 | comment | added | Wei Zhou | Thanks, Nick. I am very interested in the problem discussed in this thread. | |
May 16, 2012 at 10:47 | comment | added | Nick Gill | You might be interested in this thread - mathoverflow.net/questions/96652/cosets-and-conjugacy-classes - where there are some questions concerning the quantity $|a^G\cap C_G(a)|$ . | |
May 16, 2012 at 6:26 | comment | added | Will Sawin | Since the map is always an injection, equal cardinality is the same as surjectivity. | |
May 16, 2012 at 6:18 | comment | added | Sungjin Kim | @Will Sawin, your statement is weaker than the question. because you gave a map from one set to another. However, the question is only asking the equal cardinality statement. | |
May 16, 2012 at 5:53 | vote | accept | Wei Zhou | ||
May 16, 2012 at 5:40 | comment | added | Will Sawin | I think this question would be better phrased: "If $b$ is conjugate to $a$ and in $C_G(a)$, then there exists $c\in N_G(C_G(a))$ such that $b=cac^{-1}$." | |
May 16, 2012 at 4:45 | answer | added | Jeremy Rickard | timeline score: 6 | |
May 16, 2012 at 3:28 | history | asked | Wei Zhou | CC BY-SA 3.0 |