Consider a finite group G and H, K to be subgroups. Let H ⊂ K ⊂ G. Prove [G : H] = [G : K] * [K : H]
Consider a finite group G and H, K to be subgroups. Let H ⊂ K ⊂ G. Prove [G : H] = [G : K] * [K : H]
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter3: Groups
Section3.3: Subgroups
Problem 45E: Assume that G is a finite group, and let H be a nonempty subset of G. Prove that H is closed if and...
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Consider a finite group G and H, K to be subgroups. Let H ⊂ K ⊂ G. Prove [G : H] = [G : K] * [K : H]
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