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Results tagged with sporadic-groups
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A sporadic group is one of the 26 exceptional groups found in the classification of finite simple groups. All the other finite simple groups form 18 infinite families numbered by q - power of prime number and n - natural number. Sporadic groups attach attention due to their sporadic/exceptional nature - similar to exceptional Lie groups. The first sporadic groups were found by Mathieu in 1860s. The last sporadic group J4 was discovered in 1975 by Janko.
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Why do sporadic simple groups have so few conjugacy classes?
This is also rather an expanded comment. --
Since for purely arithmetical reasons, $\ln(\ln(|G|))$ is a lower bound
for the number $k(G)$ of conjugacy classes of a finite group $G$, maybe
$$
f(G) := …
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