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Subgroups of the adjoint group of a radical ring

Open Access article
 Printed: Feb 1998
  • B. Amberg
  • O. Dickenschied
  • Ya. P. Sysak
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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.
MSC Classifications: 16N20, 20F19 show english descriptions Jacobson radical, quasimultiplication
Generalizations of solvable and nilpotent groups
16N20 - Jacobson radical, quasimultiplication
20F19 - Generalizations of solvable and nilpotent groups

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