Finite p-groups all of whose maximal subgroups either are metacyclic or have a derived subgroup of order ≤ p
Lihua Zhang , Yanming Xia , Qinhai Zhang
Chinese Annals of Mathematics, Series B ›› 2015, Vol. 36 ›› Issue (1) : 11 -30.
Finite p-groups all of whose maximal subgroups either are metacyclic or have a derived subgroup of order ≤ p
The groups as mentioned in the title are classified up to isomorphism. This is an answer to a question proposed by Berkovich and Janko.
Finite p-groups / Nonmetacyclic p-groups / Minimal nonabelian p-groups / Maximal subgroups
| [1] |
|
| [2] |
|
| [3] |
|
| [4] |
|
| [5] |
|
| [6] |
|
| [7] |
|
| [8] |
|
| [9] |
|
| [10] |
|
| [11] |
|
| [12] |
|
| [13] |
|
| [14] |
|
| [15] |
|
| [16] |
An, L. J., Hu, R. F. and Zhang, Q. H., Finite p-groups with a minimal non-abelian subgroup of index p (IV), J. Algebra Appl., to appear. |
| [17] |
Qu, H. P., Xu, M. Y. and An, L. J., Finite p-groups with a minimal non-abelian subgroup of index p (III), Sci. China Ser. A, to appear. |
| [18] |
|
/
| 〈 |
|
〉 |