The direct Product of two cyclic group is Cyclic if gcd of m,n is 1 #shorts

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Show that the direct product of two cyclic groups G and G Show that the direct product of two cyclic groups G and G' is a cyclic group iff (O(G), O(G')) = 1
Abstract Algebra 8.3: Direct Products of Cyclic Groups Abstract Algebra 8.3: Direct Products of Cyclic Groups
Direct Products of Cyclic Groups Direct Products of Cyclic Groups
Let G be cyclic group of order n then a_k is generator of G if gcd(k, n)=1 Let G be cyclic group of order n then a_k is generator of G if gcd(k, n)=1
Abstract Algebra | Direct product of groups. Abstract Algebra | Direct product of groups.
(Abstract Algebra 1) Definition of a Cyclic Group (Abstract Algebra 1) Definition of a Cyclic Group
#148: Criterion for direct product to be cyclic #148: Criterion for direct product to be cyclic
G1 & G2 are cyclic Groups then G1x G2 is cyclic iff (O(G1), O(G2))=1 -Direct Product- -In Hindi -L5 G1 & G2 are cyclic Groups then G1x G2 is cyclic iff (O(G1), O(G2))=1 -Direct Product- -In Hindi -L5