Proof that Let G = G 1 X X G n . For each
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Proof that Let G = G1 X · · · X Gn. For each i let λi: Gi → G be the inclusion map and πi : G → Gi the canonical projection (see page 59). Let φi,= λiπi,. Then the "sum" φi1 + · · · + 'Pik of any k (1 ≤ k ≤ n) distinct φi , is a normal endomorphism of G.
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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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