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In mathematics, especially in the area of algebra known as group theory, the Prüfer rank of a pro-p group measures the size of a group in terms of the ranks of its elementary abelian sections.〔.〕 The rank is well behaved and helps to define analytic pro-p-groups. The term is named after Heinz Prüfer. == Definition == The Prüfer rank of pro-p-group is :: where is the rank of the abelian group :, where is the Frattini subgroup of . As the Frattini subgroup of can be thought of as the group of non-generating elements of , it can be seen that will be equal to the ''size of any minimal generating set'' of . 抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)』 ■ウィキペディアで「Prüfer rank」の詳細全文を読む スポンサード リンク
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