VARIETY OF PERFECT GROUPS AND ISOLOGIC GROUPS
Let Jbe a variety of groups defined by the set of laws V. A group G is called V-perfect if ?where ?is the verbal subgroup of G. Let G be a finite group and ?be a V-covering group of G and let H be of order ?such that H is V-isologic to ?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 conditions in the affirmative case.
variety of perfect groups, isologism.