论文信息 - On the Number of Elements of Maximal Order in a Group

On the Number of Elements of Maximal Order in a Group

Abstract In this note we show that a group with a finite number of elements of maximal order must be finite. In other words, there are no infinite groups with finitely many elements of maximal order. In particular, we give an explicit bound for the order of a group in terms of the number of elements of maximal order.

William Cocke | Geetha Venkataraman

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