Example: H.W 1- Let (C\{0},.) be a group of non-zero complex number and let H = {a + ib, a? + b2 = 1} then (H,.) is a sub group %3D of a group (C\{0},.) 2- Let (C\{0},.) be the group of non-zero-complex number and let H = {1,-1, i,-i} prove that (H,.) is a subgroup %3D of a group (C{0},.)

Example: H.W 1- Let (C\{0},.) be a group of non-zero complex number and let H = {a + ib, a? + b2 = 1} then (H,.) is a sub group %3D of a group (C\{0},.) 2- Let (C\{0},.) be the group of non-zero-complex number and let H = {1,-1, i,-i} prove that (H,.) is a subgroup %3D of a group (C{0},.)

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter7: Real And Complex Numbers

Section7.3: De Moivre’s Theorem And Roots Of Complex Numbers

Problem 23E: Prove that the set of all complex numbers that have absolute value forms a group with respect to...

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Question

Example: H.W
1- Let (C\{0},.) be a group of non-zero complex number and
let H = {a + ib, a? + b2 = 1} then (H,.) is a sub group
%3D
of a group (C\{0},.)
2- Let (C\{0},.) be the group of non-zero-complex number
and let H = { 1,-1, i,-i} prove that (H,.) is a subgroup
%3D
of a group (C{0},.)

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