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The norm of a Ree group. (English) Zbl 1220.20020
The authors give a construction of the Ree groups of type \(G_2\) as groups acting on mixed Moufang hexagons. This approach is new. They also derive the basic properties of these groups and provide many details of the proof that were missing in previous papers on Ree groups.

MSC:
20E42 Groups with a \(BN\)-pair; buildings
51E12 Generalized quadrangles and generalized polygons in finite geometry
51E24 Buildings and the geometry of diagrams
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