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Name: abstract If G is a finite group and someelement of G has order equal t
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Description: abstract If G is a finite group and someelement of G has order equal to thesize of G, we can say that G is: *O CyclicO Not abelianO Not cyclicO Abelian

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If G is a finite group and some element of G has order equal to the size of G, we can say that G is: * O Cyclic O Not abelian O Not cyclic O Abelian

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter4: More On Groups

Section4.6: Quotient Groups

Problem 30E: Let G be a group with center Z(G)=C. Prove that if G/C is cyclic, then G is abelian.

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