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

Peterson, Gary L.

doi:10.1090/S0002-9939-1993-1162092-0

Endomorphism near-rings of $p$-groups generated by the automorphism and inner automorphism groups
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Proc. Amer. Math. Soc. 119 (1993), 1045-1047 Request permission

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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