On the Sims Conjecture and Distance Transitive Graphs

نویسندگان

  • P. J. CAMERON
  • C. E. PRAEGER
  • J. SAXL
چکیده

Charles Sims suggested that this should be true in [11]. Much work has been done since—see for instance the papers of Thompson [15], Wielandt [17] and Knapp [6]. In particular, Thompson proved in [15] the existence of a function g such that for any G as above there is a prime p and a normal p-subgroup P of G with |Ga: P\ ^ g(d). Nevertheless, the conjecture has remained open until now. As a consequence we obtain a result on distance transitive graphs:

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تاریخ انتشار 1983