Lec 9.4: Abstract Algebra: Group Theory: Proof of G/Z theorem: If G/Z is cyclic then G is abelian

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Abstract Algebra | If G/Z(G) is cyclic then G is abelian. Abstract Algebra | If G/Z(G) is cyclic then G is abelian.
if G/Z(G) is Cyclic group then G is an Abelian group. if G/Z(G) is Cyclic group then G is an Abelian group.
M. Imp. Quotient group (G/Z(G)) is cyclic implies group G is Abelian. M. Imp. Quotient group (G/Z(G)) is cyclic implies group G is Abelian.
G/Z(G) is cyclic then G is abelian proof | if G modulo centre of G is cyclic then G is abelian group G/Z(G) is cyclic then G is abelian proof | if G modulo centre of G is cyclic then G is abelian group
Short Concept G/z(G) Is Cyclic Iff G Is Abelian ! Short Concept G/z(G) Is Cyclic Iff G Is Abelian !
if G is group such that G/Z(G) is cyclic then G is abelian #algebra #bsc if G is group such that G/Z(G) is cyclic then G is abelian #algebra #bsc
G/Z theorem let Z(G) be the center of G. If G/Z(G) is cyclic, then G is Abelian. G/Z theorem let Z(G) be the center of G. If G/Z(G) is cyclic, then G is Abelian.
Let G be a group and let Z(G) be the center of G. If G/Z(G) is cyclic, then G is Abelian. Let G be a group and let Z(G) be the center of G. If G/Z(G) is cyclic, then G is Abelian.