By J. Tits
Those notes are a marginally revised and prolonged model of mim- graphed notes written at the social gathering of a seminar on structures and BN-pairs held at Oberwolfach in April 1968. Their major objective is to give the answer of the subsequent difficulties: (A) selection of the constructions of rank >; and irreducible, round style, except ~ and H ("of round kind" skill "with finite Weyl four group", concerning the excluded varieties H, cf. the addenda on p. 274). approximately conversing, these structures all grow to be linked to uncomplicated algebraic or classical teams (cf. 6. ;, 6. 1;, eight. four. ;, eight. 22, nine. 1, 10. 2). a simple software presents the enumeration of all finite teams with BN-pairs of irreducible kind and rank >;, as much as general subgroups contained in B (cf. eleven. 7). (B) selection of all isomorphisms among constructions of rank > 2 and round kind linked to algebraic or classical uncomplicated teams and, in parti cular, description of the complete automorphism teams of such structures (cf. five. eight, five. nine, five. 10, 6. 6, 6. 1;, eight. 6, nine. ;, 10. 4). apart from the appendices, the notes are relatively strictly orientated - ward those ambitions.
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