(1) You and your friend are at a concert when it is announced that the mystery artist is a group of order 153 = 3² × 17. Your friend seems disappointed, and when you ask why, they say "it is just an abelian group." Must that be so? Why? Proof concisely and clearly rewritten abelian or not?
(1) You and your friend are at a concert when it is announced that the mystery artist is a group of order 153 = 3² × 17. Your friend seems disappointed, and when you ask why, they say "it is just an abelian group." Must that be so? Why? Proof concisely and clearly rewritten abelian or not?
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 19E: 19. a. Show that is isomorphic to , where the group operation in each of , and is addition.
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