Can you prove that a set is a group, without having an operation? for example can you prove this set B={(1+2A):(1+2N)} is a group? Is the operation division in this case or is the exercise wrongly given?

Can you prove that a set is a group, without having an operation? for example can you prove this set B={(1+2A):(1+2N)} is a group? Is the operation division in this case or is the exercise wrongly given?

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter3: Groups

Section3.1: Definition Of A Group

Problem 45E: 45. Let . Prove or disprove that is a group with respect to the operation of intersection. (Sec. )

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Can you prove that a set is a group, without having an operation?

for example can you prove this set B={(1+2A):(1+2N)} is a group?

Is the operation division in this case or is the exercise wrongly given?

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