Name
Abstract | ||
|---|---|---|
Normal subgroups of a group play an important role in determining the structure of a group. A Dedekindian group is the group all of whose subgoups are normal. The classification of such finite groups has been completed in 1897 by Dedekind. And Passman gave a classification of finite p-groups all of whose nonnormal subgroups are of order p. Above such two finite groups have many normal subgroups. Alone this line, to study the finite p-groups all of whose nonnormal subgroups are of order p or p(2), that is, its subgroups of order >= p(3) are normal. According to the order of the derived subgroups, divide into two cases expression and give all non-isomophic groups. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1007/978-3-642-16336-4_64 | INFORMATION COMPUTING AND APPLICATIONS, PT 1 |
Keywords | Field | DocType |
finite p-groups, minimal non-abelian p-groups, Dedekindian groups, central product | Central product,Locally finite group,Mathematical analysis,Pure mathematics,Mathematics,Dedekind cut,Normal subgroup | Conference |
Volume | Issue | ISSN |
105 | PART 1 | 1865-0929 |
Citations | PageRank | References |
0 | 0.34 | 1 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Xiaoqiang Guo | 1 | 9 | 3.90 |
| Qiumei Liu | 2 | 11 | 1.67 |
| Shiqiu Zheng | 3 | 2 | 1.74 |
| Lichao Feng | 4 | 7 | 7.00 |