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Subgroups of the Adjoint Group of a Radical Ring

Published online by Cambridge University Press:  20 November 2018

B. Amberg ,
O. Dickenschied  and
YA. P. Sysak
B. Amberg
Affiliation:
Fachbereich Mathematik der Universität Mainz D-55099 Mainz Germany, e-mail: amberg@mat.mathematik.uni-mainz.de, e-mail: dickenschied@mat.mathematik.uni-mainz.de
O. Dickenschied
Affiliation:
Fachbereich Mathematik der Universität Mainz D-55099 Mainz Germany, e-mail: amberg@mat.mathematik.uni-mainz.de, e-mail: dickenschied@mat.mathematik.uni-mainz.de
YA. P. Sysak
Affiliation:
Institute of Mathematics Ukrainian Academy of Science 252601 Kiev Ukraine, e-mail: mathkiev@imat.gluk.apc.org
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Abstract

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It is shown that the adjoint group ${{R}^{{}^\circ }}$ of an arbitrary radical ring $R$ has a series with abelian factors and that its finite subgroups are nilpotent. Moreover, some criteria for subgroups of ${{R}^{{}^\circ }}$ to be locally nilpotent are given.

Keywords

16N2020F19

Information

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 50 , Issue 1 , 01 February 1998 , pp. 3 - 15
Copyright
Copyright © Canadian Mathematical Society 1998

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