روشي نو براي تقريبا حل پذيري حاصلضرب گروههاي تقريبا مركزي

A New Approach for Almost Solubility of Product of Almost Central Groups

Let G =AB be the product of two groups A and B . In this paper we show that if the groups A and B are almost central, then G is almost soluble. We remind that N.S. Cernikov in 1981 gave a very condensed proof in a short note. but here we present a completely different approach. which will be understandable for the interested readers.