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内容説明 This book presents a complete classification of the transitive permutation representations of rank at most five of the sporadic simple groups and their automorphism groups， together with a comprehensive study of the vertex-transitive graphs associated with these representations. Included is a list of all vertex-transitive， distance-regular graphs on which a sporadic almost simple group acts with rank at most five. In this list are some new， interesting distance-regular graphs of diameter two， which are not distance-transitive. For most of the representations a presentation of the sporadic group is given， with words in the given generators which generate a point stabiliser: this gives readers sufficient information to reconstruct and study the representations and graphs. Practical computational techniques appropriate for analysing finite vertex-transitive graphs are described carefully， making the book an excellent starting point for learning about groups and the graphs on which they act.