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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Endomorphism near-rings of $ p$-groups generated by the automorphism and inner automorphism groups


Author: Gary L. Peterson
Journal: Proc. Amer. Math. Soc. 119 (1993), 1045-1047
MSC: Primary 16Y30; Secondary 20D45, 20F28
MathSciNet review: 1162092
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Abstract: The purpose of this paper is to investigate the equality of the endomorphism near-rings generated by the automorphism group and inner automorphism group of a nonabelian $ p$-group $ G$. If the automorphism group of $ G$ is not a $ p$-group, we find that these near-rings are different. If the automorphism group of $ G$ is a $ p$-group, examples are given illustrating that these near-rings can be different and can be the same.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1993-1162092-0
PII: S 0002-9939(1993)1162092-0
Keywords: Endomorphism near-ring, automorphism group, inner automorphism group
Article copyright: © Copyright 1993 American Mathematical Society