Adjoint groups of $p$-nil rings and $p$-group automorphisms

Yassine Guerboussa; Bounabi Daoud

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arXiv · 1308.2715

Adjoint groups of $p$-nil rings and $p$-group automorphisms

Yassine Guerboussa·Bounabi Daoud

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Abstract

We introduce a class of rings, namely the class of left or right $p$-nil rings, for which the adjoint groups behave regularly. Every $p$-ring is close to being left or right $p$-nil in the sense that it contains a large ideal belonging to this class. Also their adjoint groups occur naturally as groups of automorphisms of $p$-groups. These facts and some of their applications are investigated in this paper.

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Yassine Guerboussa, Bounabi Daoud. 2013-09-12. Adjoint groups of $p$-nil rings and $p$-group automorphisms. https://arxiv.org/abs/1308.2715

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