Condier that is the centre of a group F, So prove that > M(x) = F. and prove that if Fis finite,xe Zif and only if o(M(x)) = o(F). XEZ < =
Condier that is the centre of a group F, So prove that > M(x) = F. and prove that if Fis finite,xe Zif and only if o(M(x)) = o(F). XEZ < =
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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