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How do you find the order a factor group?

Updated: 4/28/2022
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15y ago

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Let G be a finite group and H be a normal subgroup. G/H is the set of all co-sets of H forming a group known as factor group. By Lagrange's theorem the number of cosests (denoted by (G:H)) of H under G is |G|/|H|.

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Q: How do you find the order a factor group?
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