If Gp is a Sylow p-subgroup of a group G and Hp is a Sylow

Chapter 24, Problem 48E

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Problem 48E

If Gp is a Sylow p-subgroup of a group G and Hp is a Sylow psubgroup of a group H, prove that Gp⊕ Hp is a Sylow p-subgroup of G H.

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