Please solve a question 1- Let (C\{0},.) be a group of non-zero complex number and{a + ib, a? + b² = 1} then (H,.) is a sub grouplet Hof a group (C\{0},.)

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Answered: 1- Let (C\{0},.) be a group of non-zero…

1- Let (C\{0},.) be a group of non-zero complex number and let H = {a + ib, a² + b² = 1} then (H,.) is a sub group of a group (C\{0},.)

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter4: More On Groups

Section4.7: Direct Sums (optional)

Problem 24E

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1- Let (C\{0},.) be a group of non-zero complex number and
{a + ib, a? + b² = 1} then (H,.) is a sub group
let H
of a group (C\{0},.)

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