Abstract Algebra: Theory and Applications · Problem 6.5.19

Introduction to Cryptography — Thomas Judson

Mathematics — Abstract Algebra · cosets-lagrange-theorem

Problem

Let

H

and

K

be subgroups of a group

G

. Prove that

gH \cap gK

is a coset of

H \cap K

G

. Hint. Show that

g(H \cap K) = gH \cap gK