Definition of Coclass. Meaning of Coclass. Synonyms of Coclass

- In mathematics, the coclass of a finite p-group of order pn is n − c, where c is the nilpotency class. The coclass conjectures were introduced by Leedham-Green...
- c} and the coclass r = n − c {\displaystyle r=n-c} . It turned out that descendant trees of a particular kind, the so-called pruned coclass trees whose...
- p-groups by their coclass, that is, the difference between their composition length and their nilpotency class. The so-called coclass conjectures described...
- The following IDL code declares a coclass named Someclass which implements an interface named ISomeInterface. coclass Someclass { [default] interface ISomeInterface;...
- pro-p groups of coclass r. This finiteness result is fundamental for the classification of finite p-groups by means of directed coclass graphs. The canonical...
- not coclass settled, whence its entire descendant tree T ( R ) {\displaystyle {\mathcal {T}}(R)} is of considerably higher complexity than the coclass- 2...
- contributor to the "coclass project" that aims to classify groups of prime power order and other nilpotent algebraic objects using coclass as a primary invariant...
- class n − 1 were the beginning of the classification of all p-groups via coclass. The modular maximal-cyclic group of order 2n always has nilpotency class...
- problem (Vaughan-Lee 1993), the classification of finite p-groups via the coclass conjectures (Leedham-Green & McKay 2002), and provided an excellent method...
- descendant trees. The group ⟨ 27 , 3 ⟩ {\displaystyle \langle 27,3\rangle } of coclass 1 {\displaystyle 1} has ranks ν = 2 {\displaystyle \nu =2} , μ = 4 {\displaystyle...