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# Subgroups of the adjoint group of a radical ring

Published:1998-02-01
Printed: Feb 1998
• B. Amberg
• O. Dickenschied
• Ya. P. Sysak
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## Abstract

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.
 MSC Classifications: 16N20 - Jacobson radical, quasimultiplication 20F19 - Generalizations of solvable and nilpotent groups

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