(B) Let G be a set of all real numbers except . Define on G by a * b = Ja|b, whereJa| is the absolute value of a. Is (G,*) a group?

We want to check is it a group or not.

Answered: (B) Let G be a set of all real numbers…

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter3: Groups

Section3.3: Subgroups

Problem 9E: 9. Let be a group of all nonzero real numbers under multiplication. Find a subset of that is...

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(B) Let G be a set of all real numbers except . Define * on G by a + b = |a|b, where Ja| is the absolute value of a. Is (G,*) a group?