{"product_id":"the-mathieu-groups-hardback-9781108429788","title":"The Mathieu Groups (Hardback) 9781108429788","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eThe Mathieu Groups\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eThe Mathieu Groups are presented in the context of finite geometry and the theory of group amalgams.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eA. A. Ivanov (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781108429788, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 21 June 2018\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e180 pages, 4 b\/w illus.  10 tables\u003cbr\u003e23.5 x 15.7 x 1.3 cm, 0.39 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThe 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.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e1. The Mathieu group M24 as we knew it\u003cbr\u003e 2. Amalgam method\u003cbr\u003e 3. L4(2) in two incarnations and L3(4)\u003cbr\u003e 4. From L5(2) to the Mathieu amalgam\u003cbr\u003e 5. M24 as universal completion\u003cbr\u003e 6. Maximal subgroups\u003cbr\u003e 7. 45-representation of M24\u003cbr\u003e 8. The Held group\u003cbr\u003e 9. Inevitability of Mathieu groups\u003cbr\u003e 10. Locally projective graphs and amalgams\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Groups \u0026amp; group theory [\u003ca title=\"See our other books on Groups \u0026amp; group theory\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Groups%20\u0026amp;%20group%20theory%20%5BPBG%5D%22\"\u003ePBG\u003c\/a\u003e], Algebra [\u003ca title=\"See our other books on Algebra\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Algebra%20%5BPBF%5D%22\"\u003ePBF\u003c\/a\u003e], Discrete mathematics [\u003ca title=\"See our other books on Discrete mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Discrete%20mathematics%20%5BPBD%5D%22\"\u003ePBD\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46266276380952,"sku":"9781108429788","price":88.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9781108429788i.jpg?v=1696699865","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/the-mathieu-groups-hardback-9781108429788","provider":"Freshly Printed Books","version":"1.0","type":"link"}