If p is a prime, prove that any group G of order 2p has a normal subgroup of order p and a normal subgroup in G.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter4: More On Groups
Section4.5: Normal Subgroups
Problem 20E
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If p is a prime, prove that any group G of order 2p has a normal subgroup of order p and a normal subgroup in G.

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