In Z_{40} oplus Z_{30} find two subgroups of order 12

Phoebe 2021-01-06 Answered
In Z40  Z30 find two subgroups of order 12
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Aubree Mcintyre
Answered 2021-01-07 Author has 73 answers

ln Z40, order(10)=4010=4
ln30, order(10)=3010=3
ln Z40  Z30,order(10, 10)=lcm(4, 3)=12
Thus, 10, 10 is a subgroups of order 12
Similarly,
ln Z40, order(10)=4010=4
ln30, order(5)=305=6
So, in Z40  Z30, order(10, 5)=lcm(4, 6)=12
Thus, 10, 5 is a subgroups of order 12

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