(: ) : a,b,.c,d e z} under addition,Q3) LetG =let H ={(" ) eG : a+ b+c+d = 1 € z} .Prove or disprove that H is a subgroup ofG. What if 1 is replaced by 0.

Answered: Q3) LetG = {( 5) : a, b.,c,d e z} under…

Q3) LetG = {( 5) : a, b.,c,d e z} under addition, %3D let H = {(" ) EG : +b+c+d = 1 € Z}. Prove or disprove that His a subgroup of G. What if 1 is replaced by 0.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter3: Groups

Section3.3: Subgroups

Problem 43E: 43. Suppose that is a nonempty subset of a group . Prove that is a subgroup of if and only if for...

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(: ) : a,b,.c,d e z} under addition,
Q3) LetG =
let H =
{(" ) eG : a+ b+c+d = 1 € z} .Prove or disprove that H is a subgroup of
G. What if 1 is replaced by 0.

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