If |G| = p^2 q for two distinct primes p, q, then is G necessarily abelian? Are there any non-abelian groups of order p^2 q?
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Originally Posted by prettyboy If |G| = p^2 q for two distinct primes p, q, then is G necessarily abelian? Are there any non-abelian groups of order p^2 q? of course! for example is non-abelian and its order is another example is the dihedral group of order 12. however, if G has order and then is abelian.
Refer the book ion abstract algebra by Dummit and Foote. a large behaviour of these groups are well explained
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