"Let G1, G2 be non empty subgroups of G. Then"
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Step-by-step explanation:
Let a be a non-zero element of G1 and b be a non-zero element of G2
.
Let a=mn
and b=pq where m, n, p, q are integers, and n and q are positive, and m and p
are not zero.
We know that npa=mp∈G1
and mqb=mp∈G2
.
Therefore, mp
is a common element in G1 and G2.
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