From the reviews: "The book under review consists of 10 chapters and is devoted to the systematic study of polycyclic groups from the beginning in the late 1930's up to now. ... The book is written clearly, with a high scientific level. ... It is quite accessible to research workers not only in the area of group theory, but also in other areas, who find themselves, involved with polycyclic groups. The Bibliography is rich and reflects the development of the theory from very early time up to now." (Bui Xuan Hai, Zentralblatt MATH, Vol. 1206, 2011)

• Some Basic Group Theory.- The Basic Theory of Polycyclic Groups.- Some Ring Theory.- Soluble Linear Groups.- Further Group-Theoretic Properties of Polycyclic Groups.- Hypercentral Groups and Rings.- Groups Acting on Finitely Generated Commutative Rings.- Prime Ideals in Polycyclic Group Rings.- The Structure of Modules over Polycyclic Groups.- Semilinear and Skew Linear Groups.

From the reviews: "The book under review consists of 10 chapters and is devoted to the systematic study of polycyclic groups from the beginning in the late 1930's up to now. ... The book is written clearly, with a high scientific level. ... It is quite accessible to research workers not only in the area of group theory, but also in other areas, who find themselves, involved with polycyclic groups. The Bibliography is rich and reflects the development of the theory from very early time up to now." (Bui Xuan Hai, Zentralblatt MATH, Vol. 1206, 2011)

• Some Basic Group Theory.- The Basic Theory of Polycyclic Groups.- Some Ring Theory.- Soluble Linear Groups.- Further Group-Theoretic Properties of Polycyclic Groups.- Hypercentral Groups and Rings.- Groups Acting on Finitely Generated Commutative Rings.- Prime Ideals in Polycyclic Group Rings.- The Structure of Modules over Polycyclic Groups.- Semilinear and Skew Linear Groups.

From the reviews: "The book under review consists of 10 chapters and is devoted to the systematic study of polycyclic groups from the beginning in the late 1930's up to now. ... The book is written clearly, with a high scientific level. ... It is quite accessible to research workers not only in the area of group theory, but also in other areas, who find themselves, involved with polycyclic groups. The Bibliography is rich and reflects the development of the theory from very early time up to now." (Bui Xuan Hai, Zentralblatt MATH, Vol. 1206, 2011)

• Some Basic Group Theory.- The Basic Theory of Polycyclic Groups.- Some Ring Theory.- Soluble Linear Groups.- Further Group-Theoretic Properties of Polycyclic Groups.- Hypercentral Groups and Rings.- Groups Acting on Finitely Generated Commutative Rings.- Prime Ideals in Polycyclic Group Rings.- The Structure of Modules over Polycyclic Groups.- Semilinear and Skew Linear Groups.