References for: A history of the Burnside problem


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  1. W Burnside, On an unsettled question in the theory of discontinuous groups, Quart.J.Math. 33 (1902), 230-238.
  2. W Burnside, On criteria for the finiteness of the order of a group of linear substitutions, Proc.London Math. Soc. (2) 3 (1905), 435-440.
  3. I Schur, Über Gruppen periodischer substitutionen, Sitzungsber. Preuss. Akad. Wiss. (1911), 619-627.
  4. F Levi / B L Van der Waerden, Über eine besonderen Klasse von Gruppen, Abh. Math. Sem. Hamburg. Univ. 9 (1933), 154-156 / Math. Zeit 32 (1930), 315-318.
  5. I N Sanov, Solution of Burnside's problem for n = 4, Leningrad State University Annals (Uchenyi Zapiski) Math. Ser. 10 (1940),166-170 (Russian).
  6. O Grün, Zusammenhang zwischen Potenzbildung und Kommutatorbildung, J.f.d. reine u. angew.Math. 182 (1940), 158-177.
  7. W Magnus, A connection between the Baker-Hausdorff formula and a problem of Burnside, Ann of Math. 52 (1950), 111-126; Errata, Ann. Of Math. 57 (1953), 606.
  8. J J Tobin, On groups with exponent 4, Thesis , University of Manchester (1954).
  9. A I Kostrikin, Lösung des abgeschwächten Burnsideschen Problems für den Exponenten 5. Izv. Akad. Nauk SSSR, Ser. Mat. 19, No. 3 (1955), 233-244 .
  10. G Higman, On finite groups of exponent five, Proc. Cambridge Philos. Soc. 52 (1956), 381-390.
  11. P Hall, P and G Higman, On the p-length of p-soluble groups and reduction theorems for Burnside's Problem, Proc. London Math. Soc. (3) 6 (1956), 1-42
  12. M Hall Jr., Solution of the Burnside Problem for Exponent Six, Illinois J. of Math. 2 (1958), 764-786.
  13. A I Kotsrikin, The Burnside Problem, Izv. Akad. Nauk. SSSR. Ser. Math. 23, (1958) 3-34 (Russian). American Math. Soc. Translations (2) 36 (1964), 63-99.
  14. P S Novikov, On periodic groups, Dokl. Akad. Nauk SSSR Ser. Mat. 27 (1959), 749-752.
  15. E S Golod, On nil algebras and finitely residual groups, Izv. Akad. Nauk SSSR. Ser. Mat. 1975, (1964), 273-276.
  16. S I Adjan and P S Novikov, On infinite periodic groups I, II, III, Izv. Akad. Nauk SSSR. Ser. Mat. 32 (1968), 212-244; 251-524; 709-731.
  17. S I Adjan, The Burnside problems and identities in groups, (Moscow, 1975). [Translated from the Russian by J Lennox and J Wiegold (Berlin, 1979).]

JOC/EFR July 2002

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