If a normal subgroup N of order p (p prime) is contained in a group G of
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If a normal subgroup N of order p (p prime) is contained in a group G of order pn, then N is in the center of G.
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Since N is a normal subgroup of G we know that for any g G we have gNg1 N Lets consider the action o...View the full answer
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Related Book For
Algebra Graduate Texts In Mathematics 73
ISBN: 9780387905181
8th Edition
Authors: Thomas W. Hungerford
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