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Subgroups of the adjoint group of a radical ring |
Canad. J. Math. 50(1998), 3-15
Published:1998-02-01
Printed: Feb 1998
Printed: Feb 1998
- B. Amberg
- O. Dickenschied
- Ya. P. Sysak
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 |