Timeline for Why do sporadic simple groups have so few conjugacy classes?
Current License: CC BY-SA 3.0
5 events
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| Dec 15, 2014 at 18:49 | history | edited | Nick Gill | CC BY-SA 3.0 |
extra comment
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| Dec 15, 2014 at 17:12 | comment | added | Nick Gill | @GeoffRobinson, this is interesting. Indeed, given that this phenomenon is so general, the rate of convergence becomes interesting when considering the "non-abelian-ness" mentioned in the original question. The Liebeck-Pyber paper is very strong in this regard, but of course such a notion makes no sense in connection with the sporadic groups. | |
| Dec 15, 2014 at 17:07 | comment | added | Geoff Robinson | As a matter of interest, It is proved in a 2006-ish paper of Bob Guralnick and myself that in general, $\frac{k(G)}{|G|} \to 0$ as $[G:F(G)] \to \infty$ ( for finite $G$). | |
| Dec 15, 2014 at 16:40 | history | edited | Nick Gill | CC BY-SA 3.0 |
caveat about small rank groups inserted
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| Dec 15, 2014 at 16:33 | history | answered | Nick Gill | CC BY-SA 3.0 |