{"product_id":"low-rank-representations-and-graphs-for-sporadic-groups","title":"Low Rank Representations and Graphs for Sporadic Groups","description":"\u003cp\u003eThis 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.\u003c\/p\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46647652450542,"sku":"9780521567374","price":62.82,"currency_code":"AUD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0630\/9612\/7726\/files\/9780521567374.jpg?v=1750176540","url":"https:\/\/bookland.com.au\/products\/low-rank-representations-and-graphs-for-sporadic-groups","provider":"Book Land AU","version":"1.0","type":"link"}