Intro; Preface; Acknowledgements; Contents; About the Authors; Notation; 1 Preliminaries on p-Groups; 1.1 Central Series; 1.2 Regular Groups; 1.3 Groups with Large Center; 1.4 Gaschütz's Theorem and Its Generalization; 1.5 Pro-p-Groups; 2 Fundamental Exact Sequence of Wells; 2.1 Cohomology of Groups; 2.2 Group Extensions; 2.3 Action of Cohomology Group on Extensions; 2.4 Action of Automorphism Group on Extensions; 2.5 Action of Automorphism Group on Cohomology; 2.6 Wells Map; 2.7 Wells Exact Sequence; 2.8 Extensions with Trivial Coupling; 2.9 Extension and Lifting of Automorphisms

3 Orders of Automorphism Groups of Finite Groups3.1 Schur Multiplier; 3.2 Automorphisms of Finite Abelian Groups; 3.3 Ledermann-Neumann's Theorem; 3.4 Green's Function; 3.5 Howarth's Function; 3.6 Hyde's Function; 4 Groups with Divisibility Property-I; 4.1 Reduction Results; 4.2 Groups of Nilpotency Class 2; 4.3 Groups with Metacyclic Central Quotient; 4.4 Modular Groups; 4.5 p-Abelian Groups; 4.6 Groups with Small Central Quotient; 5 Groups with Divisibility Property-II; 5.1 Groups of Order p7; 5.2 Groups of Coclass 2; 5.3 2-Groups of Fixed Coclass; 5.4 p2-Abelian p-Central Groups

5.5 Further Results6 Groups Without Divisibility Property; 6.1 Lie Algebras and Uniform Pro-p-Groups; 6.2 Existence of Groups Without Divisibility Property; References; Index