5. G (a + b.2: a eZ and b e Z) is a group under addition in the reals.Define o : G -→G for all a + b.2 e G, as 0(a+ b.2) = a- b./2. Provethat o is an automorphism.

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Answered: 5. G = {a + b2: a eZ and be Z) is a…

5. G = {a + b2: a eZ and be Z) is a group under addition in the reals. Define o: G G for all a+ b./2 eG, as (a+ b /2) = a- b./2. Prove that o is an automorphism.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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5. G (a + b.2: a eZ and b e Z) is a group under addition in the reals.
Define o : G -→G for all a + b.2 e G, as 0(a+ b.2) = a- b./2. Prove
that o is an automorphism.

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