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.
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