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Some sufficient and necessary conditions for nilpotent groups
| Content Provider | Semantic Scholar |
|---|---|
| Author | Han, Zhangjia |
| Copyright Year | 2012 |
| Abstract | In this paper, we first define a special subgroup (i.e quasi-c-normal subgoup )of a finite group G which is a generalization of normal subgroups. A subgroup H of a group G is said to be quasi-c-normal in G if these exists a normal subgroup K of G such that |G : HK| is a power of a prime and HK ≤ H G . Then we obtain some sufficient and necessary conditions for finite nilpotent groups by means of the quasi-c- normality of some subgroups of a group G and some know results are hence generalized. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://www.ipcsit.com/vol49/039-P028.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
