Maximal subgroups of classical groups

The long-awaited book `The maximal subgroups of the low-dimensional finite classical groups’ by John Bray, Derek Holt, and Colva Roney-Dougal has just appeared in the LMS Lecture Notes Series. It contains, in marvellously complete form, with proofs, the material which appeared in Peter Kleidman’s PhD thesis (1987), without proof, on maximal subgroups of simple classical groups in dimensions up to 12, and extends this to the almost simple groups. The latter is what really makes the achievement so impressive. The book satisfies a long-felt need in finite group theory, and will be an important work of reference for a long time to come.

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