Consider a group of order 21 choose the correct. If G has unique subgroup of order...

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Consider a group of order 21 choose the correct. If G has unique subgroup of order 3 then G is cylic If G is non-cyclic then there are 14 elements of order 3 If G has exactly two elements of order 3 then Va=G, N(a)= G (the normalizer) Converse of Lagrang's theorem holds for group G Consider a group of order 21 choose the correct. If G has unique subgroup of order 3 then G is cylic If G is non-cyclic then there are 14 elements of order 3 If G has exactly two elements of order 3 then Va=G, N(a)= G (the normalizer) Converse of Lagrang's theorem holds for group G

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