منابع مشابه
Connected transversals to subnormal subgroups
Subnormal subgroups possessing connected transversals are briefly discussed.
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Let G be a group with all subgroups subnormal. A normal subgroup N of G is said to be G-minimax if it has a finite G-invariant series whose factors are abelian and satisfy either max-G or minG. It is proved that if the normal closure of every element of G is G-minimax then G is nilpotent and the normal closure of every element is minimax. Further results of this type are also obtained.
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ژورنال
عنوان ژورنال: Proceedings of the Edinburgh Mathematical Society
سال: 1979
ISSN: 0013-0915,1464-3839
DOI: 10.1017/s0013091500027772