This unique reference illustrates how different methods of finite group theory including representation theory, cohomology theory, combinatorial group theory and local analysis are combined to construct one of the last of the sporadic finite simple groups - the fourth Janko Group J_4. Aimed at graduates and researchers in group theory, geometry and algebra, Ivanov's approach is based on analysis of group amalgams and the geometry of the complexes of these amalgams with emphasis on the underlying theory. An indispensable resource, this book will be a unique and essential reference for...

A rigorous construction and uniqueness proof for the Monster group, detailing its relation to Majorana involutions.

Since the 1980s, the theory of groups - in particular simple groups, finite and algebraic - has influenced a number of diverse areas of mathematics. This book contains 20 survey articles covering such topics as algebraic combinatorics, finite geometries, Galois theory and permutation groups.

The Mathieu Groups are presented in the context of finite geometry and the theory of group amalgams.