Stephen D. Smith, University of Illinois at Chicago, IL.

• Background: Simple groups and their propertiesOutline of the proof of the CFSG: Some main ideasThompson factorization--and its failure: FF-methodsRecognition theorms for simple groupsRepresentation theory of simple groupsMaximal subgroups and primitive representationsGeometries for simple groupsSome fusion techniques for classification problemsSome applications close to finite group theorySome applications farther afield from finite groupsAppendix A: Some supplementary notes to the textAppendix B: Further remarks on certain exercisesBibliographyIndex.

Stephen D. Smith, University of Illinois at Chicago, IL.

• Background: Simple groups and their propertiesOutline of the proof of the CFSG: Some main ideasThompson factorization--and its failure: FF-methodsRecognition theorms for simple groupsRepresentation theory of simple groupsMaximal subgroups and primitive representationsGeometries for simple groupsSome fusion techniques for classification problemsSome applications close to finite group theorySome applications farther afield from finite groupsAppendix A: Some supplementary notes to the textAppendix B: Further remarks on certain exercisesBibliographyIndex.

Stephen D. Smith, University of Illinois at Chicago, IL.

• Background: Simple groups and their propertiesOutline of the proof of the CFSG: Some main ideasThompson factorization--and its failure: FF-methodsRecognition theorms for simple groupsRepresentation theory of simple groupsMaximal subgroups and primitive representationsGeometries for simple groupsSome fusion techniques for classification problemsSome applications close to finite group theorySome applications farther afield from finite groupsAppendix A: Some supplementary notes to the textAppendix B: Further remarks on certain exercisesBibliographyIndex.