Suppose that G is a group with less than 1,000,000 elements. Show that you can find no more than 20 elements that generate G.
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Originally Posted by iamthemanyes Suppose that G is a group with less than 1,000,000 elements. Show that you can find no more than 20 elements that generate G. As the minimal order of non-unit element in a group is 2, and as the minimal number of elements a group with 20 generators is , with 20 direct factors there (why?), then we're done. Tonio
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