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The Maximal Subgroups of the Low-Dimensional Finite Classical Groups by Colva M. Roney-Dougal, Derek F. Holt, John N. Bray

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2The main theorem and the types of geometric subgroups

2.1 The main theorem

Chapters 2 to 7 of this book are devoted to the proof of our main result:

Main Theorem 2.1.1 Let q be a prime power, let image, and let Ω be quasisimple and equal to one of SLn(q), SUn(q), Spn(q), image, Sz(q) = 2B2(q), G2(q), R(q) = 2G2(q) or 3D4(q). Let image be an almost simple extension of . Then representatives of the conjugacy classes of maximal subgroups of that do not contain

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