{"product_id":"a-course-on-group-theory-revised","title":"A Course on Group Theory (Revised)","description":"\n\u003ctable align=\"center\" border=\"0\" cellpadding=\"2\" cellspacing=\"0\" width=\"100%\"\u003e\n\u003ctr\u003e\n\u003ctd class=\"productDetailSmallElements\"\u003e\n\u003cp\u003e\n\u003cstrong\u003eBiographical Note\u003c\/strong\u003e:\u003cbr\u003e\n\t\t\t\t\t\t\t\tThe late John S. Rose was Senior Lecturer in Pure Mathematics at England's University of Newcastle upon Tyne.\u003cbr\u003e\u003cbr\u003e\n\u003cstrong\u003eMarc Notes\u003c\/strong\u003e:\u003cbr\u003e\n\t\t\t\t\t\t\t\tOriginally published: Cambridge: Cambridge University Press, 1978.\u003cbr\u003e\u003cbr\u003e\n\u003cstrong\u003eTable of Contents\u003c\/strong\u003e:\u003cbr\u003e\n\t\t\t\t\t\t\t\tPreface \n\u003cbr\u003e0 Some conventions and some basic facts \n\u003cbr\u003e1 Introduction to finite group theory \n\u003cbr\u003e2 Examples of groups and homomorphisms \n\u003cbr\u003e3 \"Normal subgroups, homomorphisms and quotients\" \n\u003cbr\u003e4 Group actions on sets \n\u003cbr\u003e5 Finite p-groups and Sylow's theorem \n\u003cbr\u003e6 Groups of even orders \n\u003cbr\u003e7 Series \n\u003cbr\u003e8 Direct products and the structure of finitely generated abelian groups \n\u003cbr\u003e9 Group actions on groups \n\u003cbr\u003e10 Transfer and splitting theorems \n\u003cbr\u003e11 Finite nilpotent and soluble groups \n\u003cbr\u003e References \n\u003cbr\u003e Index of notation \n\u003cbr\u003e Index of subjects \n\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\n\u003cstrong\u003ePublisher Marketing\u003c\/strong\u003e:\u003cbr\u003e\n\t\t\t\t\t\t\t\tThis textbook for advanced courses in group theory focuses on finite groups, with emphasis on the idea of group actions. Early chapters summarize presupposed facts, identify important themes, and establish the notation used throughout the book. Subsequent chapters explore the normal and arithmetical structures of groups as well as applications. \n\u003cbr\u003eTopics include the normal structure of groups: subgroups; homomorphisms and quotients; series; direct products and the structure of finitely generated Abelian groups; and group action on groups. Additional subjects range from the arithmetical structure of groups to classical notions of transfer and splitting by means of group action arguments. More than 675 exercises, many accompanied by hints, illustrate and extend the material.\u003cbr\u003e\u003cbr\u003e\n\u003c\/p\u003e\n\u003cbr\u003e\n\u003cbr\u003e\n\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003c\/table\u003e\n","brand":"Dover Publications","offers":[{"title":"Default Title","offer_id":46431155683459,"sku":"SPTM-9780486681948","price":12.95,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0564\/6830\/8099\/files\/9780486681948_spiral.png?v=1769660517","url":"https:\/\/sebink.com\/products\/a-course-on-group-theory-revised","provider":"Sebink","version":"1.0","type":"link"}