Let G be a group where G = Z/4Z x Z/6Z.
I calculated the order of G to be 24.
Given the cyclic subgroup <(2,3)> in G. Can I say the order of this subgroup is also 24 given that a cyclic subgroup generates the whole group G.
Let G be a group where G = Z/4Z x Z/6Z.
I calculated the order of G to be 24.
Given the cyclic subgroup <(2,3)> in G. Can I say the order of this subgroup is also 24 given that a cyclic subgroup generates the whole group G.
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