Please show that $A_{5}$, a group of order $60$, has no subgroup of order $15$.
Why $A_{5}$ has no subgroup of order $15$?
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$\begingroup$
group-theory
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0I know A_{5} is a simple group – 2012-04-23
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0@Ali That's all you know about $A_5$? Do you not know what the elements are? What the elements of order 3 and 5 are? – 2012-04-23