Explores properties of K-groups and the Trichotomy Theorem in finite groups, suggesting insights into subgroup structures.
Part I: Properties of K-groups and Preliminary Lemmas: Introduction Decorations of the known simple groups Local subgroups of the known simple groups Balance and signalizers Generational properties of K-groups Factorizations Miscellaneous general results and lemmas about K-groups Appendix by N. Burgoyne Part II: The Trichotomy Theorem: Odd standard form Signalizer functors and weak proper $2$-generated p-cores Almost strongly p-embedded maximal $2$-local subgroups References.
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Gorenstein et al. (1983) studied this question.
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