If H and K are two subgroups of finite indices in G, then show that H ∩ K is also of finite index in G.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter4: More On Groups
Section4.6: Quotient Groups
Problem 20E
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If H and K are two subgroups of finite indices in G, then show that H ∩ K is
also of finite index in G.

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