P-groups | Properties of groups

Powerful p-group

In mathematics, in the field of group theory, especially in the study of p-groups and pro-p-groups, the concept of powerful p-groups plays an important role. They were introduced in, where a number of applications are given, including results on Schur multipliers. Powerful p-groups are used in the study of automorphisms of p-groups, the solution of the restricted Burnside problem, the classification of finite p-groups via the coclass conjectures, and provided an excellent method of understanding analytic pro-p-groups. (Wikipedia).

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Related pages

Pro-p group | Manifold | Frattini subgroup | Quotient group | Mathematics | Commutator subgroup | Schur multiplier | P-adic number | P-group | Prüfer rank | Group theory | Abelian group | Automorphism | Open set | Normal subgroup