Timeline for Are there always more conjugacy classes in the kernel of a morphism to $Z_2$ than not?
Current License: CC BY-SA 4.0
7 events
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May 29, 2021 at 16:12 | history | edited | LSpice | CC BY-SA 4.0 |
Oops, g was both function and variable
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May 29, 2021 at 12:08 | comment | added | LSpice | @ClarkLyons, you are right. I edited accordingly. | |
May 29, 2021 at 12:07 | history | edited | LSpice | CC BY-SA 4.0 |
Count each conjugacy class once
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May 29, 2021 at 4:36 | comment | added | Clark Lyons | But I think you should modify the definition of $f$ so that it only counts each conjugacy class from $G$ once. So $f(h)$ should be the number of conjugacy classes of $G$ which $\phi$ sends to the conjugacy class of $h$. | |
May 29, 2021 at 4:06 | vote | accept | Clark Lyons | ||
May 29, 2021 at 4:06 | comment | added | Clark Lyons | This is great! I was thinking that I could get it to work for H abelian, but I did not consider taking inverse images of conjugacy classes instead of conjugacy classes in inverse images. Very nice. | |
May 29, 2021 at 2:28 | history | answered | LSpice | CC BY-SA 4.0 |