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Finite groups of 2-local 3-rank 1

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Literature Cited

  1. D. Gorenstein and R. Lyons, “Finite groups of 2-local 3-rank at most 1” in: Proceedings of a Conference on Finite Groups (Utah), Academic Press, New York (1976), pp. 25–36.

    Google Scholar 

  2. G. Mason, “Two theorems on groups of characteristic 2-type,” Pac. J. Math.,57, No. 1, 233–253 (1975).

    Google Scholar 

  3. N. D. Podufalov, “On finite simple groups with 3-constrained 3-local subgroups,” Algebra Logika,20, No. 2, 183–206 (1981).

    Google Scholar 

  4. N. D. Podufalov, “Finite simple groups of characteristic 2 or 3 type,” Trudy Inst. Mat. Sib. Otd. Akad. Nauk SSSR,4, 49–81 (1984).

    Google Scholar 

  5. N. D. Podufalov, “On finite groups whose 2-local 3-rank is at most 1,” Algebra Logika,22, No. 3, 297–107 (1983).

    Google Scholar 

  6. A. A. Makhnev, “A characterization of the simple Tits group,” Trudy Inst. Mat. Otd. Akad. Nauk SSSR,4, 28–48 (1984).

    Google Scholar 

  7. A. A. Makhnev, “Finite groups with a self-normalizing subgroup of order 6,” Algebra Logika,19, No. 1, 91–102 (1980).

    Google Scholar 

  8. A. S. Kondrat'ev, “Finite simple groups with Sylow 2-subgroups of order 27,” Izv. Akad. Nauk SSSR, Ser. Mat.,41, No. 4, 752–767 (1977).

    Google Scholar 

  9. N. K. Dickson, “Groups with dihedral 3-normalizers of order 4k,” J. Algebra,54, No. 2, 390–409 (1978).

    Google Scholar 

  10. A. A. Makhnev, “Finite groups with a centralizer of order 6,” Dokl. Akad. Nauk SSSR,284, No. 6, 1312–1313 (1985).

    Google Scholar 

  11. D. Gorenstein and K. Harada, “Finite groups whose 2-subgroups are generated by at most 4 elements,” Mem. Am. Math. Soc.,147, 1–468 (1974).

    Google Scholar 

  12. N. K. Dickson, “Structure theorems for groups with dihedral normalizers,” Proc. Edinburgh Math. Soc.,21, No. 2, 175–186 (1978).

    Google Scholar 

  13. G. Higman, Odd Characterizations of Finite Simple Groups, Lecture Notes, Univ. of Michigan (1968).

  14. D. Goldschmidt, “2-Fusion in finite groups,” Ann. Math.,99, No. 1, 70–117 (1974).

    Google Scholar 

  15. B. Stellmacher, “Über endliche Gruppen mit einer 2-lokalen Untergruppe, die kein element der Ordnung 6 enthält,” J. Algebra,50, No. 1, 175–189 (1978).

    Google Scholar 

  16. B. M. Veretennikov and A. A. Makhnev, “On finite groups with restricted centralizer of an involution,” Izv. Vyssh. Uchebn. Zaved., No. 10, 8–14 (1982).

    Google Scholar 

  17. V. D. Mazurov, “On centralizers of involutions in simple groups,” Mat. Sb.,93, No. 4, 529–539 (1973).

    Google Scholar 

  18. R. Griess, D. Mason, and G. Seitz, “Bender group as standard subgroup,” Trans. Am. Math. Soc.,238, 179–211 (1978).

    Google Scholar 

  19. R. Griess, “The splitting of extensions of SL(3, 3) by the vector space F 33 ,” Pac. J. Math.,63, No. 2, 405–410 (1976).

    Google Scholar 

  20. G. Glauberman, “On solvable signalizer functors in finite groups,” Proc. London Math. Soc.,33, No. 1, 1–27 (1976).

    Google Scholar 

  21. D. Goldschmidt, “Automorphisms of trivalent graphs,” Ann. Math.,111, No. 2, 377–406 (1980).

    Google Scholar 

  22. M. Aschbacher, “A factorization theorem for 2-constrained groups,” Proc. London Math. Soc.,43, No. 3, 450–477 (1981).

    Google Scholar 

  23. R. Solomon and S. K. Wong, “On L2 (2n)-blocks,” Proc. London Math. Soc.,43, No. 3, 499–519 (1981).

    Google Scholar 

  24. D. Gorenstein and J. Walter, “Balance and generation in finite groups,” J. Algebra,33, No. 2, 224–287 (1975).

    Google Scholar 

  25. V. A. Belonogov, “Normal complements and conjugacy of involutions in finite groups,” Algebra Logika,15, No. 1, 22–38 (1976).

    Google Scholar 

  26. E. Griess, “Schur multipliers of the known finite simple groups,” Bull. Am. Math. Soc.,78, No. 1, 68–71 (1972).

    Google Scholar 

  27. D. Mason, “On finite simple groups G in which every element of L(G) is of Bender type,” J. Algebra,40, No. 1, 125–202 (1976).

    Google Scholar 

  28. S. A. Chunikhin, “On the existence of subgroups in a finite group,” in: Proceedings of a Seminar on Group Theory [in Russian], Gos. Ob″ed. Nauch.-Tekh. Izdat., Leningrad (1938), pp. 106–125.

    Google Scholar 

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Sverdlovsk. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 29, No. 6, pp. 100–110, November–December, 1988.

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Makhnev, A.A. Finite groups of 2-local 3-rank 1. Sib Math J 29, 951–959 (1988). https://doi.org/10.1007/BF00972421

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  • DOI: https://doi.org/10.1007/BF00972421

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