The Mathieu Groups

The Mathieu groups have many fascinating and unusual characteristics and have been studied at length since their discovery. This book provides a unique geometric perspective on these groups. The amalgam method is explained and used to construct M24 enabling readers to learn the method through its application to a familiar example. The same method is then used to construct among others the octad graph the Witt design and the Golay code. This book also provides a systematic account of ''small groups'' and serves as a useful reference for the Mathieu groups. The material is presented in such a way that it guides the reader smoothly and intuitively through the process leading to a deeper understanding of the topic.