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Jun 17, 2012 at 18:48 answer added user631 timeline score: 7
Jun 14, 2011 at 15:40 vote accept Martino Garonzi
Jun 14, 2011 at 0:14 answer added Jack Schmidt timeline score: 15
Jun 13, 2011 at 17:23 comment added Emil Jeřábek As for 2), the orders of finite simple groups are known, see en.wikipedia.org/wiki/List_of_finite_simple_groups . A typical expression for the infinite families is a product like $q^6(q^6−1)(q^2−1)$, where $q$ is a prime power (this particular expression is for $G_2(q)$). I don't know how to answer your question based on this information, though.
Jun 13, 2011 at 16:19 comment added Martino Garonzi Thank you, sorry, the first question was easy...! About the second one, I am looking for a sequence $(S(n))_n$ of non-abelian simple groups (if it exists) such that the orders $|S(n)|$ go to infinity and the number of prime factors remains bounded, i.e. the sequence $(\omega(|S(n)|))_n$ is bounded. I think that the question is clear... Sorry again for the first question.
Jun 13, 2011 at 15:39 history asked Martino Garonzi CC BY-SA 3.0