70. If H is a normal subgroup of G and |H| = 2, prove that H is con- tained in the center of 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 27E: 27. Suppose is a normal subgroup of order of a group . Prove that is contained in , the center of...
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700Can someone please help me understand the following problem. I need to know how to start the problem. i need to know the theorems identities, please thank you.

70. If H is a normal subgroup of G and |H| = 2, prove that H is con-
tained in the center of G.
Transcribed Image Text:70. If H is a normal subgroup of G and |H| = 2, prove that H is con- tained in the center of G.
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