Finite p-Groups Whose Length of Chain of Nonnormal Subgroups is At Most 2
Finite p-Groups Whose Length of Chain of Nonnormal Subgroups is At Most 2
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DOI：
10.1007/s41980-019-00288-2
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发表时间：
2019-09
影响因子：
0.7
通讯作者：
Qiangwei Song
中科院分区：
文献类型：
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作者：
Qiangwei Song
设G是有限非Dedekindp-群，其中p是奇素数. Passman引入了如下概念：我们称G是G的非正规子群链，如果每个G都有一个非正规子群链，且如果其中的k称为链的长度，k表示G的非正规子群链的长度的最大值。本文将有限群Gwith完全分类到同构。
Assume thatGis a finite non-Dedekindp-group, wherepis an odd prime. Passman introduced the following concept: we say thatis a chain of nonnormal subgroups ofGif eachand iffor.kis called the length of the chain.denotes the maximum of the lengths of the chains of nonnormal subgroups ofG. In this paper, finitep-groupsGwithare completely classified up to isomorphism.