|
In mathematics, the coclass of a finite ''p''-group of order ''p''''n'' is ''n'' − ''c'', where ''c'' is the class. ==The coclass conjectures== The coclass conjectures were introduced by and proved by and . They are: *Conjecture A: Every ''p''-group has a normal subgroup of class 2 with index depending only on ''p'' and its coclass. *Conjecture B: The solvable length of a ''p''-group can be bounded in terms of ''p'' and the coclass. *Conjecture C: A pro ''p''-group of finite coclass is solvable. *Conjecture D: There are only finitely many pro ''p''-groups of given coclass. *Conjecture E: There are only finitely many soluble pro ''p''-group of given coclass. 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「Coclass」の詳細全文を読む スポンサード リンク
|