GROUPS THAT INVOLVE FINITELY MANY PRIMES AND HAVE ALL SUBGROUPS SUBNORMAL II
نویسندگان
چکیده
منابع مشابه
The Nilpotency of Some Groups with All Subgroups Subnormal
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: Glasgow Mathematical Journal
سال: 2012
ISSN: 0017-0895,1469-509X
DOI: 10.1017/s0017089512000134