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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

A condition for a finite group to be cyclic


Author: J. H. E. Cohn
Journal: Proc. Amer. Math. Soc. 32 (1972), 48
MSC: Primary 20.25
DOI: https://doi.org/10.1090/S0002-9939-1972-0289623-3
MathSciNet review: 0289623
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Abstract: A finite group, with the property that for every prime power $ q = {p^k}$ there are at most $ {p^{k + 1}} - 1$ elements in the group whose qth power is the identity, is a cyclic group.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1972-0289623-3
Keywords: Finite group, cyclic group, order of element
Article copyright: © Copyright 1972 American Mathematical Society