ON THE NUMBER OF ELEMENTS THAT ARE NOT kth POWERS IN A GROUP
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چکیده
Let k be a positive integer, and suppose that the number of elements of a group G that are not k th powers in G is nonzero but finite. If G is finite, we obtain an upper bound on |G|, and we present some conditions sufficient to guarantee that G actually is finite.
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تاریخ انتشار 2015