Algebraic Combinatorics and the Monster Group (London Mathematical Society Lecture Note Series, Series Number 487)

Covering, arguably, one of the most attractive and mysterious mathematical objects, the Monster group, this text strives to provide an insightful introduction and the discusses the current state of the field. The Monster group is related to many areas of mathematics, as well as physics, from number theory to string theory. This book cuts through the complex nature of the field, highlighting some of the mysteries and intricate relationships involved. Containing many meaningful examples and a manual introduction to the computer package GAP, it provides the opportunity and resources for readers to start their own calculations. Some 20 experts here share their expertise spanning this exciting field, and the resulting volume is ideal for researchers and graduate students working in Combinatorial Algebra, Group theory and related areas.

Alexander A. Ivanov earned his PhD degree in mathematics in 1984 from the Moscow Physical Technical Institute. He was a researcher at Institute for System Analysis and received Doctor of Science degree from Moscow State University in 2000. Since 1995, Professor Ivanov has taught at the Imperial College London. He gave an invited talk at 1990 ICM in Kyoto and authored five monographs.