About: Powerful p-group

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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.

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  • 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. (en)
  • 在數學的群論中，特別在p-群和的研究中，powerful p-群是一個起著重要作用的概念。這個概念是在（）引入的，該文中並給出了幾個應用，包括的一些結果。powerful p-群用於p-群的自同構研究（），的解答（），以coclass猜想作出的有限p-群分類（），及給出了很好的方法去理解解析pro-p-群 （）。 (zh)
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  • 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. (en)
  • 在數學的群論中，特別在p-群和的研究中，powerful p-群是一個起著重要作用的概念。這個概念是在（）引入的，該文中並給出了幾個應用，包括的一些結果。powerful p-群用於p-群的自同構研究（），的解答（），以coclass猜想作出的有限p-群分類（），及給出了很好的方法去理解解析pro-p-群 （）。 (zh)
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  • Powerful p-group (en)
  • Powerful p-群 (zh)
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