(a) If G is a group, then the center of G is a normal subgroup of G...
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(a) If G is a group, then the center of G is a normal subgroup of G (see Exercise 2.11);
(b) the center of Sn is the identity subgroup for all n > 2.
Exercise 2.11
If His a cyclic subgroup of a group G and His normal in G, then every subgroup of His normal in G
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a To show that the center ZG of G is a normal subgroup of G we need to show that gZGg1 ZG for all g ...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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