Theory And Applications Of Finite Groups

An Unabridged Printing. Part I: Substitution And Abstract Groups - Examples Of Groups And Fundamental Definitions - Substitution Groups And Sylow's Theorem - Fundamental Definitions And Theorems Of Abstract Groups - Abelian Groups - Groups Whose Orders Are Powers Of Prime Numbers- Groups Having Simple Abstract Definitions - Isomorphisms - Solvable Groups. Part II: Finite Groups Of Linear Homogeneous Transformations - Preliminary Theorems - The Linear Groups In Two Variables - Some Special Types Of Groups - Group Characteristics. Part III: Applications Of Finite Groups - The Group Of An Algebraic Equation For A Given Domain - Sufficient Condition That An Algebraic Equation Be Solvable By Radicals - Construction With Ruler And Compass - The Inflexion Points Of A Plane Cubic Curve - The 27 Straight Lines On A General Cubic Surface And The 28 Bitangents To A General Quartic Curve - Mondromie Group