Omegas of agemos in powerful groups

James L I Williams

Research output: Contribution to journalArticle (Academic Journal)peer-review


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 languageEnglish
JournalInternational Journal of Group Theory
Early online date13 Mar 2019
Publication statusE-pub ahead of print - 13 Mar 2019


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