Daniel Gorenstein and Richard Lyons, Rutgers University, Piscataway, NJ.Ronald Solomon, The Ohio State University, Columbus, OH.

• IntroductionRecognition theoryTheorem $\mathscr{C}^*_7$: Stage 4b$ $--A large Lie-type subgroup $G_0$ for $p=2$Theorem $\mathscr{C}^*_7$: Stage 4b$ $--A large Lie-type subgroup $G_0$ for $p>2$Theorem $\mathscr{C}^*_7$: Stage 5$ $: $G=G_0$Preliminary properties of $\mathscr{K}$-groupsBibliographyIndex

Daniel Gorenstein and Richard Lyons, Rutgers University, Piscataway, NJ.Ronald Solomon, The Ohio State University, Columbus, OH.

• IntroductionRecognition theoryTheorem $\mathscr{C}^*_7$: Stage 4b$ $--A large Lie-type subgroup $G_0$ for $p=2$Theorem $\mathscr{C}^*_7$: Stage 4b$ $--A large Lie-type subgroup $G_0$ for $p>2$Theorem $\mathscr{C}^*_7$: Stage 5$ $: $G=G_0$Preliminary properties of $\mathscr{K}$-groupsBibliographyIndex

Daniel Gorenstein and Richard Lyons, Rutgers University, Piscataway, NJ.Ronald Solomon, The Ohio State University, Columbus, OH.

• IntroductionRecognition theoryTheorem $\mathscr{C}^*_7$: Stage 4b$ $--A large Lie-type subgroup $G_0$ for $p=2$Theorem $\mathscr{C}^*_7$: Stage 4b$ $--A large Lie-type subgroup $G_0$ for $p>2$Theorem $\mathscr{C}^*_7$: Stage 5$ $: $G=G_0$Preliminary properties of $\mathscr{K}$-groupsBibliographyIndex