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Jan 16, 2014 at 21:24 history edited Alireza Abdollahi CC BY-SA 3.0
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Jan 16, 2014 at 15:13 history edited Alireza Abdollahi CC BY-SA 3.0
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Jan 16, 2014 at 15:05 history edited Alireza Abdollahi CC BY-SA 3.0
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Jan 16, 2014 at 14:45 history edited Alireza Abdollahi CC BY-SA 3.0
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Jan 16, 2014 at 9:35 history edited Alireza Abdollahi CC BY-SA 3.0
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Jan 16, 2014 at 8:24 history edited Alireza Abdollahi CC BY-SA 3.0
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Jan 16, 2014 at 7:54 history edited Alireza Abdollahi CC BY-SA 3.0
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Jan 16, 2014 at 6:31 history edited Alireza Abdollahi CC BY-SA 3.0
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Jan 16, 2014 at 6:23 history edited Alireza Abdollahi CC BY-SA 3.0
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Jan 10, 2014 at 12:18 comment added Nick Gill ... One can probably deal with the three infinite families directly, or using ideas in On triangle generation of finite groups of Lie type by Claude Marion.
Jan 10, 2014 at 12:01 comment added Nick Gill ... If you want to know what the list of exceptions is, then you should refer to the references given near the statement of Corollary 1.3. So I'm guessing that @Alireza's statement is true (all FSGs are generated by two elements of prime power order) - one just needs to prove it for the three infinite families just mentioned, plus the finite list.
Jan 10, 2014 at 11:59 comment added Nick Gill To understand the situation mentioned in the final paragraph, refer to Lubeck & Malle, (2,3)-generation of exceptional groups, in which Corollary 1.3 states: Let $G$ be a non-abelian finite simple group not equal to $Sp_4(2^n)$, $Sp_4(3^n)$ or ${^2B_2}(2^{2n+1})$, then, up to a finite number of exceptions, $G$ is generated by an element of order 2 and an element of order $3$...
Jan 9, 2014 at 18:41 history answered Alireza Abdollahi CC BY-SA 3.0