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Show that the groups of the following orders have a normal Sylow subgroup. (a) |G| = pq...

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Advance Math

Show that the groups of the following orders have a normal Sylowsubgroup.

(a) |G| = pq where p and q areprimes.

(b) |G| = paq where p andq are primes and q < p.

(c) |G| = 4p where p is a prime greater thanfour.

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