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10:35
YouTube
Bill Kinney
Making Subgroup Lattices is Fun! (Construct Subgroup Lattice for Cyclic Group ℤ20)
The Fundamental Theorem of Cyclic Groups (FTCG) is very helpful to construct the subgroup lattice for a cyclic group. This is because there is exactly one subgroup of each order that divides the order of the whole group. For the cyclic group of order 20, ℤ20 = <1>={0,1,2,3,...,19} under addition modulo 20, the unique subgroup of order 10 ...
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