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Let G be a group of order 42 . ( a ) Prove that G has a normal subgroup of order 7 .` ( b ) Prove that G is a semidirect product of a normal...

Let G be a group of order 42.

Prove both (a) and (b).

Prove both (a) and (b).

Prove both (a) and (b).

7 . Let G be a group of order 42 .( a ) Prove that G has a normal subgroup of order 7 .`( b ) Prove that G is a semidirect product of a normal subgroup of order 21 and 2.2 .
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