Answered: Which of the following ?groups is not…

Which of the following ?groups is not cyclic GL(2, R) under addition componentwise. G = {a+b/2: a. b EZ} under addition. %3D G =< 6Z, + > G = {6" : n E Z} under multiplication. %3D

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 2E

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Question

2.5 نقطة )نقاط(
السؤال 12
Which of the following
?groups is not cyclic
GL(2, R) under addition componentwise.
G = {a+b/2: a. b eZ} under addition.
%3D
G =< 6Z,+ >
G = (6" : n E Z} under multiplication.
%3D

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