Question: Suppose G and H are two groups and p is a prime. (a) Show that if R is a Sylow p-subgroup of G x

Suppose G and H are two groups and p is a prime.

Suppose G and H are two groups and p is a prime. (a) Show that if R is a Sylow p-subgroup of G x H, then there is a Sylow p-subgroup P of G and a Sylow p-subgroup Q of H so that R = P x Q. (b) Show that nxH = ngx.

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