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AbelAkil
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Homework Statement
(a)Let H and K be subgroups of a group G. Prove that the intersection of xH and yK which are cosets of H and K is either empty or else is a coset of the subgroup H intersect K
(b) Prove that if H and K have finite index in G then the intersection of H and K also has finite index.
Homework Equations
The Attempt at a Solution
The intersection of xH and yK is a subgroup of both H and K, then how to continue?
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