List of publications of Boris Weisfeiler

  1. The classification of semi-simple Lie algebras over p-adic field, Dokl. Akad. Nauk USSR 158 (1964), 258-260 (in Russian); English translation: Sov. Math. Dokl. 5 (1964), 1206-1208; MR 30#201, Zbl 0158.28601.

  2. A class of unipotent subgroups of semi-simple algebraic groups, Uspekhi Mat. Nauk 21 (1966), no. 2, 222-223 (in Russian); MR 33#2634.

  3. Infinite dimensional filtered Lie algebras and their connection with graded Lie algebras, Funkcional. Anal. i Prilozhen. 2 (1968), no. 1, 94-95 (in Russian); English translation: Funct. Anal. Appl. 2 (1968), 88-89; MR 38#1134, Zbl 0245.17006.  

  4. On a property of semisimple algebraic groups, Funkcional. Anal. i Prilozhen. 2 (1968), no. 3, 84-85 (in Russian); English translation: Funct. Anal. Appl. 2 (1968), 257-258; MR 39#2770, Zbl 0237.20036.  

  5. (with A.A. Lehman) A reduction of a graph to a canonical form and an algebra arising during this reduction, Nauchno-Technicheskaya Informatsiya, Ser. 2, no. 9 (1968), 12-16 (in Russian).

  6. (with G.M. Adel'son-Vel'skii, A.A. Lehman and I.A. Faradzhev) An example of a graph which has no transitive group of automorphisms, Dokl. Akad. Nauk SSSR 185 (1969), 975-976 (in Russian); English translation: Sov. Math. Dokl. 10 (1969), 440-441; MR 39#5424, Zbl 0208.52501.

  7. Some properties of exceptional semisimple algebraic groups over nonclosed fields, Trudy Moskov. Mat. Obshch. 20 (1969), 111-136 (in Russian); English translation: Trans. Mosc. Math. Soc. 20 (1969), 109-134; MR 41#1745, Zbl 0237.20037.

  8. Remarks on some algebraic groups, Funkcional. Anal. i Prilozhen. 4 (1970), no. 1, 91 (in Russian); English translation: Funct. Anal. Appl. 4 (1970), 81-82; MR 42#1832, Zbl 0201.53602.  

  9. (with V.G. Kac) Irreducible representations of Lie p-algebras, Funkcional. Anal. i Prilozhen. 5 (1971), no. 2, 28-36 (in Russian); English translation: Funct. Anal. Appl. 5 (1971), 111-117; MR 44#2793, Zbl 0237.17003.  

  10. Semisimple algebraic groups which are split over a quadratic extension, Izv. Akad. Nauk SSSR Ser. Mat. 35 (1971), 56-71 (in Russian); English translation: Math. USSR Izv. 5 (1971), 57-72; MR 43#3270, Zbl 0237.20038.  

  11. (with V.G. Kac) Exponentials in Lie algebras of characteristic p, Izv. Akad. Nauk SSSR Ser. Mat. 35 (1971), 762-788 (in Russian); English translation: Math. USSR Izv. 5 (1971), 777-803; MR 46#5408, Zbl 0245.17007.  

  12. (with V.L. Arlazarov, A.A. Lehman, and V.K. Titov) A mathematical description of ICL system 4, Institute of Control Problems, Issue 2 (1971) (in Russian).

  13. The Hasse principle for algebraic groups split over a quadratic extension, Funkcional. Anal. i Prilozhen. 6 (1972), no. 2, 21-23 (in Russian); English translation: Funct. Anal. Appl. 6 (1972), 102-104; MR 46#185, Zbl 0251.20045.  

  14. (with I.V. Dolgachev) Unipotent group schemes over integral rings, Izv. Akad. Nauk SSSR Ser. Mat. 38 (1974), 757-799 (in Russian); English translation: Math. USSR Izv. 8 (1974), 761-800; Errata and addenda: 8 (1974), 1433; MR 51#12872, Zbl 0314.14015, Zbl 0321.14027.  

  15. (with V.G. Kac) Coadjoint action of a semi-simple algebraic group and the center of the enveloping algebra in characteristic p, Nederl. Akad. Wetensch. Proc. Ser. A 79 = Indag. Math. 38 (1976), 136-151; MR 54#5364, Zbl 0324.17001.  

  16. On Construction and Identification of Graphs (with contributions by A. Lehman, G. M. Adelson-Velsky, V. Arlazarov, I. Faragev, A. Uskov, I. Zuev, M. Rosenfeld and B. Weisfeiler. Edited by B. Weisfeiler), Lecture Notes in Mathematics 558 (1976); MR 58#27590, Zbl 0366.05019.  

  17. On Lie algebras of differential formal groups of Ritt, Bull. Amer. Math. Soc. 84 (1978), 127-130; MR 81f:14027, Zbl 0382.14016.

  18. On the structure of the minimal ideal of some graded Lie algebras in characteristic p > 0, J. Algebra 53 (1978), 344-361; MR 80b:17011, Zbl 0388.17005.  

  19. (with W. Mills and A.M. Krall) Discovering theorems with a computer: the case of y' = sin(xy), Amer. Math. Monthly 86 (1979), 733-739; MR 81g:34002, Zbl 0431.34012.  

  20. On abstract monomorphisms of k-forms of PGL(2), J. Algebra 57 (1979), 522-543; MR 80e:14019, Zbl 0406.20035.  

  21. Abstract monomorphisms between big subgroups of some groups of type B2 in characteristic 2, J. Algebra 60 (1979), 204-222; MR 81e:20050, Zbl 0429.20041.  

  22. On abstract homomorphisms of anisotropic algebraic groups over real-closed fields, J. Algebra 60 (1979), 485-519; MR 80k:20045, Zbl 0417.20041.  

  23. On a case of extensions of group schemes, Trans. Amer. Math. Soc. 248 (1979), 171-189; MR 81c:14027, Zbl 0412.14022.  

  24. (with D.G. James) On the geometry of unitary groups, J. Algebra 63 (1980), 514-540; MR 82e:10039, Zbl 0428.14023.  

  25. (with W.C. Waterhouse) One-dimensional affine group schemes, J. Algebra 66 (1980), 550-568; MR 82e:14057, Zbl 0452.14013.  

  26. Monomorphisms between subgroups of groups of type G2, J. Algebra 68 (1981), 306-334; MR 82j:20088, Zbl 0453.20030.  

  27. Abstract isomorphisms of simple algebraic groups split by quadratic extensions, J. Algebra 68 (1981), 335-368; MR 82j:20089, Zbl 0456.20023.  

  28. (with D. James and W. Waterhouse) Abstract homomorphisms of algebraic groups: problems and bibliography, Comm. Algebra 9 (1981), 95-114; MR 81m:20059, Zbl 0452.20045.  

  29. (with W. Nichols) Differential formal groups of J.F. Ritt, Amer. J. Math. 104 (1982), 943-1003; MR 84j:14045, Zbl 0567.14025.  

  30. Abstract homomorphisms of big subgroups of algebraic groups, Topics in the Theory of Algebraic Groups, Notre Dame Math. Lectures 10 (1982), 135-181; MR 84m:20051, Zbl 0567.14025.

  31. On subalgebras of simple Lie algebras of characteristic p > 0, Trans. Amer. Math. Soc. 286 (1984), 471-503; MR 86h:17012, Zbl 0555.17003.  

  32. (with C.R. Matthews and L.N. Vaserstein) Congruence properties of Zariski-dense subgroups. I, Proc. London Math. Soc. 48 (1984), 514-532; MR MR85d:20040, Zbl 0551.20029.  

  33. Strong approximation for Zariski-dense subgroups of semi-simple algebraic groups, Ann. Math. 120 (1984), 271-315; MR 86m:20053, Zbl 0568.14025.  

  34. (with A.J. Hahn and D.G. James) Homomorphisms of algebraic and classical groups: a survey, Quadratic and Hermitian Forms, Canad. Math. Soc. Conf. Proc. 4 (1984), 249-296; MR 87b:20056, Zbl 0547.20036   [google books].

  35. Post-classification version of Jordan's theorem on finite linear groups, Proc. Nat. Acad. Sci. USA 81 (1984), no. 16, 5278-5279; MR 85j:20041, Zbl 0542.20026.

  36. Comments on differential invariants, Infinite-Dimensional Groups with Applications, Math. Sci. Res. Inst. Publ., Vol. 4, 355-370, Springer, 1985; MR 87e:12013, Zbl 0621.12018.

  37. On the size and structure of finite linear groups, posted in the arXive on March 8, 2012; arXiv:1203.1960v2

Boris Weisfeiler announced his results on Finite linear groups in August 1984 [item 35 above]. Soon after, in January 1985, he disappeared during a hiking trip in Chile. Parts of the manuscript, entitled On the size and structure of finite linear groups, became privately available to the experts in the field with intention to publish this last fundamental work of Weisfeiler. The results presented in this manuscript were later discussed by Walter Feit [Weisfeiler's work on finite linear groups, Abstracts of Papers Presented to the AMS, 1994, #897-20-299] and Michael Collins [On Jordan's theorem for complex linear groups, J. Group Theory 10 (2007), 411-423; Bounds for finite primitive complex linear groups, J. Algebra 319 (2008), 759-776; Modular analogues of Jordan's theorem for finite linear groups, arXiv:0709.3245, to appear in J. Reine Angew. Math.].
  1. On the size and structure of finite linear groups, 1984. Original, posted online on May 14, 2008.
    Parts 1-14, 91 typewritten pages
    Part 15, 22 handwritten pages
    Part 16, 10 handwritten pages
    Part 17, 6 handwritten pages
    Parts A1-A10, 25 handwritten pages