Soluble (HN)2-groups
Copyright policy )Soluble (HN)2-groups
The author considers groups with all normalizers of subnormal subgroups normal, a subclass of those groups where these normalizers are only subnormal. For the soluble groups of this wider class the reviewer could prove that they belong to the class \(NN_2N\). The author can show that \((HN)_2\)-groups belong to \(AN_2A\) if they are soluble. Special attention is needed for subnormal sections isomorphic to SL(2, 3). Also often an indication is given whether the results can be extended to \((HN)_3\)-groups.
- University of Padua Italy
normalizers of subnormal subgroups, soluble groups, \((HN)_ 2\)-groups, Finite solvable groups, theory of formations, Schunck classes, Fitting classes, \(\pi\)-length, ranks, hypernormalizers, subnormal sections, finite groups, Subnormal subgroups of abstract finite groups
normalizers of subnormal subgroups, soluble groups, \((HN)_ 2\)-groups, Finite solvable groups, theory of formations, Schunck classes, Fitting classes, \(\pi\)-length, ranks, hypernormalizers, subnormal sections, finite groups, Subnormal subgroups of abstract finite groups
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