Name
Abstract | ||
|---|---|---|
Let Z be a complete set of Sylow subgroups of a finite group G, that is, for each prime p dividing the order of G, Z contains one and only one Sylow p-subgroup of G. A subgroup H of G is said to be Z-permutable in G if H permutes with every member of Z. In this paper, we prove the pnilpotency of a finite group with assumption that some subgroups of Sylow subgroup are Z-permutable in the normalizers of Sylow subgroups. Our results unify and generalize some earlier results. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1109/CSO.2012.82 | CSO |
Keywords | Field | DocType |
finite groups,prime p,sylow p-subgroup,complete set,subgroup h,maximal subgroups,sylow subgroups,h permutes,results unify,earlier result,finite group,sylow subgroup,optimization,maximal subgroup,algebra,zinc,group theory | Hall subgroup,Combinatorics,Locally finite group,Complement (group theory),Sylow theorems,p-group,Omega and agemo subgroup,Normal p-complement,Index of a subgroup,Mathematics | Conference |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Yong Xu | 1 | 9 | 9.53 |
| Dan Wu | 2 | 2318 | 272.22 |
| Xinjian Zhang | 3 | 1 | 1.41 |