Some properties of V -Camina pairs of Groups

In this paper we define V -camina pairs of groups which is a generalization of camina pairs of groups. Camina pairs were first introduced in 1978 by A. R. Camina in [1]. We show that if G is a V -nilpotent group and (G;M) is a V -camina pairs of groups then M is a term in both upper V -marginal series and lower V -marginal series of G. Also we define V -camina groups and we investigate some properties of them. At last we generalize the definition of V -camina groups and we show that in some varieties our generalized V -camina groups are exactly the groups isologism to V -camina groups.