Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

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

 
 

 

Classification of finite groups with all elements of prime order


Author: Marian Deaconescu
Journal: Proc. Amer. Math. Soc. 106 (1989), 625-629
MSC: Primary 20D20
DOI: https://doi.org/10.1090/S0002-9939-1989-0969518-2
Corrigendum: Proc. Amer. Math. Soc. 117 (1993), 1205-1207.
MathSciNet review: 969518
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: A finite group having all (nontrivial) elements of prime order must be a $ p$-group of exponent $ p$, or a nonnilpotent group of order $ {p^a}q$, or it is isomorphic to the simple group $ {A_5}$.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 20D20

Retrieve articles in all journals with MSC: 20D20


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1989-0969518-2
Keywords: $ p$-groups, soluble groups
Article copyright: © Copyright 1989 American Mathematical Society

American Mathematical Society