Large abelian normal subgroups

作者：Aivazidis S; Isaacs I M^*

来源：ARCHIV DER MATHEMATIK, 2018, 111(2): 113-122.

DOI：10.1007/s00013-018-1192-y

• Self-centralizing
• Supersolvable residual
• Wreath product
• Abelian normal subgroup

In this paper we study the family of finite groups with the property that every maximal abelian normal subgroup is self-centralizing. It is well known that this family contains all finite supersolvable groups, but it also contains many other groups. In fact, every finite group G is a subgroup of some member of this family, and we show that if G is solvable, then can be chosen so that every abelian normal subgroup of G is contained in some self-centralizing abelian normal subgroup of .

• 出版日期2018-8