Which one of the following is not a group?(1): (8Z, +) where 8Z = {8n | n E Z}(2): (Z8, +) where the operation is addition modulo 8(3): (G,+) where the operation is the usual addition and(H₂.)(B) (8Z,+)(Z8, +)(G,+)G = {a+b√2 a, b e Q}(4): (H,) where the operation is the usual multiplication andH = {0,1}(5): (GL(2,Q),-) where the operation is the usual matrix multiplicationE (GL(2,Q),.)☐☐

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Answered: Which one of the following is not a…

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter3: Groups

Section3.2: Properties Of Group Elements

Problem 1E: 1.Prove part of Theorem . Theorem 3.4: Properties of Group Elements Let be a group with respect to a...

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