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

Yassine Guerboussa; Bounabi Daoud

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

Group Theory 2013-09-13 v2

Authors: Yassine Guerboussa , Bounabi Daoud

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.

Keywords

p-nil rings adjoint groups p-groups automorphisms ideals ring theory

Cite

@article{arxiv.1308.2715,
  title  = {Adjoint groups of $p$-nil rings and $p$-group automorphisms},
  author = {Yassine Guerboussa and Bounabi Daoud},
  journal= {arXiv preprint arXiv:1308.2715},
  year   = {2013}
}

Comments

Some of the results proved by the authors in "On Central Automorphisms of Groups And Nilpotent Rings", are included in this paper

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

Abstract

Keywords

Cite

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