LinearAlgebraicGroupsandFiniteGroupsofLieType(CambridgeStudiesinAdvancedMathematics)

Originatingfromasummerschooltaughtbytheauthors,thisconcisetreatmentincludesmanyofthemainresultsinthearea.Anintroductorychapterdescribesthefundamentalresultsonlinearalgebraicgroups,culminatingintheclassificationofsemisimplegroups.Thesecondchapterintroducesmorespecializedtopicsinthesubgroupstructureofsemisimplegroupsanddescribestheclassificationofthemaximalsubgroupsofthesimplealgebraicgroups.TheauthorsthensystematicallydevelopthesubgroupstructureoffinitegroupsofLietypeasaconsequenceofthestructuralresultsonalgebraicgroups.Thisapproachwillhelpstudentstounderstandtherelationshipbetweenthesetwoclassesofgroups.Thebookcoversmanytopicsthatarecentraltothesubject,butmissingfromexistingtextbooks.Theauthorsprovidenumerousinstructiveexercisesandexamplesforthosewhoarelearningthesubjectaswellasmoreadvancedtopicsforresearchstudentsworkinginrelatedareas.