Abstract
Let G be a powerful p-group. In this note we investigate when the Omega subgroups of the Agemo subgroups of G are Powerfully Nilpotent. We discuss the difference between the cases when p=2 and when p is an odd prime. Moreover this work gives an example of a characteristic subgroup of G^{p} which is Powerfully Nilpotent but not strongly powerful.
Original language | English |
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Journal | International Journal of Group Theory |
Early online date | 13 Mar 2019 |
DOIs | |
Publication status | E-pub ahead of print - 13 Mar 2019 |