VARIETAL OF PERFECT GROUPS AND ISOLIGIC GROUPS

Let ΰ be a variety of groups defined by the set of lows V.A group G is called V-perfect if G=V(G), where V(G) is the verbal subgroup of G. Let G be a finite group and G* be a V-civering group of G and let H be of order G* such that H is V-isologic to G*. It is of interest to know whether H is a V-covering group of G. The answer is negative in general. In this paper we give some condition in the affiemative case.

کلیدواژه ها:

Variety of perfect groups ، Isologism