Injectors of locally soluble FC-groups. (English) Zbl 0606.20032
For a Fitting set F of a locally soluble FC-group, the existence and local conjugacy of F-injectors is established. In particular, the locally nilpotent injectors are described. Normally embedded subgroups of locally soluble FC-groups are characterized in terms of Fischer sets.
MSC:
20F24 | FC-groups and their generalizations |
20F19 | Generalizations of solvable and nilpotent groups |
20E07 | Subgroup theorems; subgroup growth |
20F17 | Formations of groups, Fitting classes |
Keywords:
Fitting set; injectors; locally nilpotent injectors; locally soluble FC- groups; Fischer setsReferences:
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