Finite p-groups with many minimal nonabelian subgroups
In Theorem 2.1 we characterize finite p-groups G such that each nonabelian subgroup H of G which possesses an abelian maximal subgroup is minimal nonabelian. In Theorem 3.1 the problem 2331 of Y. Berkovich (stated in Y. Berkovich and Z. Janko, in preparation [4]) about finite p-groups with “many” mi...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article (Journal) |
| Language: | English |
| Published: |
1 March 2012
|
| In: |
Journal of algebra
Year: 2012, Volume: 357, Pages: 263-270 |
| ISSN: | 1090-266X |
| DOI: | 10.1016/j.jalgebra.2012.02.014 |
| Online Access: | Verlag, Volltext: http://dx.doi.org/10.1016/j.jalgebra.2012.02.014 Verlag, Volltext: http://www.sciencedirect.com/science/article/pii/S002186931200110X 
|
| Author Notes: | Zvonimir Janko |
| Summary: | In Theorem 2.1 we characterize finite p-groups G such that each nonabelian subgroup H of G which possesses an abelian maximal subgroup is minimal nonabelian. In Theorem 3.1 the problem 2331 of Y. Berkovich (stated in Y. Berkovich and Z. Janko, in preparation [4]) about finite p-groups with “many” minimal nonabelian subgroups is solved. |
|---|---|
| Item Description: | Gesehen am 23.02.2018 |
| Physical Description: | Online Resource |
| ISSN: | 1090-266X |
| DOI: | 10.1016/j.jalgebra.2012.02.014 |