Displaying similar documents to “Counting p -groups and nilpotent groups”

6-BFC groups

Cliff David, James Wiegold (2006)

Rendiconti del Seminario Matematico della Università di Padova

Similarity:

Relative commutator associated with varieties of n -nilpotent and of n -solvable groups

Tomas Everaert, Marino Gran (2006)

Archivum Mathematicum

Similarity:

In this note we determine explicit formulas for the relative commutator of groups with respect to the subvarieties of n -nilpotent groups and of n -solvable groups. In particular these formulas give a characterization of the extensions of groups that are central relatively to these subvarieties.

Groups with Restricted Conjugacy Classes

de Giovanni, F., Russo, A., Vincenzi, G. (2002)

Serdica Mathematical Journal

Similarity:

Let F C 0 be the class of all finite groups, and for each nonnegative integer n define by induction the group class FC^(n+1) consisting of all groups G such that for every element x the factor group G/CG ( <x>^G ) has the property FC^n . Thus FC^1 -groups are precisely groups with finite conjugacy classes, and the class FC^n obviously contains all finite groups and all nilpotent groups with class at most n. In this paper the known theory of FC-groups is taken as a model, and it...