Journal article
Finite Groups with Given Quantitative Non-Nilpotent Subgroups II
In
Communications in Algebra
—
2014, Volume 42, Issue 10, pp. 4248-4252
Abstract
As an extension of Shi and Zhang's 2011 article [4], we prove that any finite group having at most 23 non-normal non-nilpotent proper subgroups is solvable except for G ≅ A 5 or SL(2, 5), and any finite group having at most three conjugacy classes of non-normal non-nilpotent proper subgroups is solvable except for G ≅ A 5 or SL(2, 5).
| Language: | English |
|---|---|
| Year: | 2014 |
| Pages: | 4248-4252 |
| ISSN: | 15324125 and 00927872 |
| Types: | Journal article |
| DOI: | 10.1080/00927872.2013.806523 |
