Proceedings of the American Mathematical Society

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

 

 

Groups in which each element commutes with its endomorphic images


Author: R. Faudree
Journal: Proc. Amer. Math. Soc. 27 (1971), 236-240
MSC: Primary 20.40
MathSciNet review: 0269737
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Abstract: Let $ G$ be a finite group in which each element commutes with its endomorphic images. We will give a counterexample to the conjecture that $ G$ is abelian.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1971-0269737-3
Keywords: Finite group, abelian group, endomorphic images, nilpotent class 2 $ p$-group
Article copyright: © Copyright 1971 American Mathematical Society