Groups as Graphs

"For the first time, every finite group is represented in the form of a graph in this book. This study is significant because properties of groups can be immediately obtained by looking at the graphs of the groups"--P. [4] of cover. CONTENTS......Page 4 PREFACE......Page 6 1.1 Properties of Rooted Trees......Page 8 1.2 Basic Concepts......Page 10 2 GROUPS AS GRAPHS......Page 18 3.1 Identity graphs of semigroups......Page 90 3.2 Special Identity Graphs of Loops......Page 130 3.3 The identity graph of a finite commutative ring with unit......Page 135 4 SUGGESTED PROBLEMS......Page 158 FURTHER READING......Page 163 INDEX......Page 165 ABOUT THE AUTHORS......Page 169 "For the first time, every finite group is represented in the form of a graph in this book. This study is significant because properties of groups can be immediately obtained by looking at the graphs of the groups"--Page 4 of cover