Distributively generated centralizer near-rings

Maxson, C. J.; Smith, K. C.

doi:10.1090/S0002-9939-1983-0684628-X

Distributively generated centralizer near-rings
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by C. J. Maxson and K. C. Smith PDF

Proc. Amer. Math. Soc. 87 (1983), 409-414 Request permission

Abstract:

Let $G$ be a finite group. $\mathcal {A}$ a group of automorphisms of $G$ and $\mathcal {C}\left ( {\mathcal {A};G} \right )$ the centralizer near-ring determined by the pair $(\mathcal {A},G)$. In this paper we investigate the structure of those centralizer near-rings $\mathcal {C}\left ( {\mathcal {A};G} \right )$ which are distributively generated. Particular attention is given to the situation in which $G$ is a solvable group.

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