In mathematics, the coclass of a finite p-group of order pn is n − c, where c is the class. The coclass conjectures were introduced by Leedham-Green and...

The following IDL code declares a coclass named SomeClass which implements an interface named ISomeInterface. coclass SomeClass { [default] interface ISomeInterface;...

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...

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...

problem (Vaughan-Lee 1993), the classification of finite p-groups via the coclass conjectures (Leedham-Green & McKay 2002), and provided an excellent method...

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...

important. Many conjectures were made during this time, including the coclass conjectures. The last twenty years of the 20th century enjoyed the successes...