We give two new characterizations of finite solvable groups all of whose subnormal subgroups are normal. We also characterize finite groups all of whose subgroups are either normal or self-normalizing.
On finite solvable groups in which normality is a transitive relation / M. Bianchi, A. Mauri, M. Herzog, L. Verardi. - In: JOURNAL OF GROUP THEORY. - ISSN 1433-5883. - 3:2(2000), pp. 147-156.
On finite solvable groups in which normality is a transitive relation
M. Bianchi;
2000
Abstract
We give two new characterizations of finite solvable groups all of whose subnormal subgroups are normal. We also characterize finite groups all of whose subgroups are either normal or self-normalizing.
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