الفهرس 
IntroductionOnly 14 pages are availabe for public view
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Abstract
We call a group G, where G is not necessarily finite, cyclically separated ( CS-group ) if for any given cyclic subgroup H ::; G and asubgroup A of finite index in H, there exists a normal subgroup N of G of finite index such that N n H = A.
As a suggestion of B. Hartley, Makarfi substituted subnormal in place of normal in the definition of C S-group in his Ph.D. thesis and he called the retiulting class the C S,,-class. He studied the finite CSn-groups which are soluble and the Sylow subgroups are abelia.n.
My supervisors M. Abdel Megied and B.Hartley, introduced the paper entitled” Cyclically Separated Groups ”, of B. Hartley, J. C. Lennox and A. H. Rhemtulla, and the Ph.D. thesis of Makarfi to me with a suggestion to study the finite soluble CSn- groups whose Sylow subgroups are not necessarily abelian.
A study of finite monolithic CSn-groups with non abelian monolith is presented. We get the result that if G is a finite monolithic CSn-group with non abelian monolith then G is isomorphic to As, the alternating group of degree five. We also get this interesting result, that some kind of restriction on the orders of the generators of G / F( G) and on the p-Iength of G, where G is a finite soluble C Sn-group, actually puts a bound on the nilpotent length of G. In fact it is the best possible bound. Also we give a way to construct examples of groups which are finite soluble C Sn generated by elements of prime order and ha.ve nilpotent length three. Finally, we get