This paper is devoted to the study of a class of generalised p-nilpotent groups in the universe cC of all radical locally finite groups satisfying min-g for every prime q. Some results of finite groups are extended and a characterisation of the injectors associated with this class is given.
This paper is devoted to the study of a class of generalised p-nilpotent groups in the universe cC of all radical locally finite groups satisfying min-g for every prime q. Some results of finite groups are extended and a characterisation of the injectors associated with this class is given.
Radical locally finite groups with min-p for all primes p in which every descendant subgroup is normal are studied in the paper. It turns out that these groups are precisely Tgroups, that is, groups whose subnormal subgroups are normal.
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