Large Abelian Subgroups of Finite p-Groups
نویسنده
چکیده
It would be interesting to extend this result by allowing B to have nilpotence class 2 instead of necessarily being abelian. This cannot be done if p = 2 (Example 4.2), but perhaps it is possible for p odd. (It was done by the author ([Gor, p.274]; [HB, III, p.21]) for the special case in which p is odd and [B,B] ≤ A.) However, there is an application of Thompson’s Replacement Theorem that can be extended when p is odd and B has class 2, and this extension is our first main result. In order to state it, we require a definition.
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