Let G=<a,b|a6=b3=e, b-1ab=a3>How many elements does G have? To what familiar group is G isomorphic?

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Let G= How many elements does G have? To what familiar group is G isomorphic?

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter4: More On Groups

Section4.8: Some Results On Finite Abelian Groups (optional)

Problem 13E: If p1,p2,...,pr are distinct primes, prove that any two abelian groups that have order n=p1p2...pr...

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Let G=<a,b|a⁶=b³=e, b^-1ab=a³>

How many elements does G have? To what familiar group is G isomorphic?

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