Literature Cited
The Kourovka Notebook: Unsolved Problems in Group Theory, Amer. Math. Soc., Providence (1983).
A. V. Borovik, “Periodic linear groups over fields of odd characteristic,” in: Proceedings of the 16th All-Union Algebra Conference. II [in Russian], Leningrad (1981), p. 17.
D. A. Suprunenko, Matrix Groups [in Russian], Nauka, Moscow (1972).
M. Aschbacher, The Finite Simple Groups and Their Classification, Yale Univ. Press, New Haven-London (1970).
A. V. Borovik, “Embeddings of finite Chevalley groups and periodic linear groups,” Sib. Mat. Zh.,24, No. 6, 26–35 (1983).
V. V. Belyaev, “Locally finite Chevalley groups,” in: Proceedings of the 16th All-Union Algebra Conference. I [in Russian], Leningrad (1981), pp. 17–18.
M. I. Kargapolov and Yu. I. Merzlyakov, Fundamentals of the Theory of Groups, Springer-Verlag, New York (1979).
Yu. I. Merzlyakov, Rational Groups [in Russian], Nauka, Moscow (1980).
J. Humphreys, Linear Algebraic Groups, Springer-Verlag, New York (1975).
D. Gorenstein, “The classification of finite simple groups. I. Simple groups and local analysis,” Bull. Am. Math. Soc.,1, No. 1, 43–199 (1979).
R. Steinberg, Lectures on Chevalley Groups, Mineographed Notes, Yale (1967).
A. Borel and J. Tits, “Homomorphismes “abstraits” de groupes algébriques semisimples,” Ann. Math.,97, No. 3, 499–571 (1973).
R. Steinberg, “Endomorphisms of linear algebraic groups,” Mem. Am. Math. Soc., No. 80 (1980).
N. Burgoine and C. Williamson, “Semisimple classes in Chevalley type groups,” Pac. J. Math.,70, No. 1, 83–100 (1977).
B. Huppert, Endliche Gruppen, I, Springer-Verlag, Berlin (1967).
T. M. Gagen, Topics in Finite Groups, London Math. Soc. Lecture Notes Series, Vol. 16, Cambridge Univ. Press (1976).
M. I. Kargapolov, “Periodicmatrix groups,” Sib. Mat. Zh.,3, No. 6, 834–838 (1962).
V. P. Platonov, “Theory of algebraic linear groups and periodic groups,” Izv. Akad. Nauk SSSR, Ser. Mat.,30, No. 3, 573–620 (1966).
W. Feit and J. G. Thompson, “Solvability of groups of odd order,” Pac. J. Math.,13, No. 3, 755–1029 (1968).
O. H. Kegel, “Über einfache lokal endliche Gruppen,” Math. Z.,95, No. 3, 169–195 (1967).
J. Glauberman, “On solvable signalizer functors in finite groups,” J. Algebra,4, 403–420 (1966).
A. Macwilliams, “On 2-groups with no normal abelian subgroups of rank 3 and their occurrence as Sylow 2-subgroups of finite simple groups,” Trans. Am. Math. Soc.,150, No. 2, 345–408 (1970).
D. Gorenstein and K. Harada, “Finite groups whose 2-subgroups are generated by at most 4 elements,” Mem. Am. Math. Soc., No. 147 (1974).
M. Aschbacher, “Finite groups with a proper 2-generated core,” Trans. Am. Math. Soc.,197, No. 1, 87–112 (1974).
I. I. Pavlyuk and V. P. Shunkov, “Locally finite groups satisfying the condition min-p for all p,” in: Proceedings of the 7th All-Union Symposium on Group Theory [in Russian], Krasnoyarsk (1980), pp. 84–85.
N. Burgoine, R. Greiss, and R. Lyons, “Maximal subgroups and automorphisms of Chevalley groups,” Pac. J. Math.,71, No. 2, 365–403 (1977).
M. E. Harris, “On Chevalley groups over fields of odd order, the unbalanced group conjecture and B(G)-conjecture,” Proc. Symp. Pure Math.,37, 75–79 (1980).
M. Aschbacher, “A characterization of Chevalley groups over fields of odd order. I, II,” Ann. Math.,186, No. 2, 353–398 (1977); No. 3, 399–468 (1977): Corrections: Ann. Math.,111, 411–414 (1980).
M. Aschbacher, “On finite groups of component type,” Illinois J. Math.,19, No. 1, 87–115 (1975).
M. Aschbacher and G. M. Seitz, “On groups with a standard component of known type,” Osaka J. Math.,13, No. 3, 439–482 (1976).
L. Finkelstein, “Finite groups with a standard component of type Janko-Ree,” J. Algebra,36, No. 3, 416–426 (1975).
J. H. Walter, Characterizations of Chevalley Groups. Freprint (1979).
O. H. Kegel and B. A. F. Wehrfritz Locally Finite Groups, New York (1973).
M. E. Harris and R. Solomon, “Finite groups having an involution centralizer with a 2-component of dihedral type. I,” Illinois J. Math.,21, No. 3, 575–620 (1977).
M. E. Harris, “Finite groups having an involution centralizer with a 2-component of dihedral type. II,” Illinois J. Math.,21, No. 3, 621–647 (1977).
A. O. Asar, “On a problem of Kegel and Wehrfritz,” J. Algebra,59, No. 1, 47–55 (1979).
D. Gorenstein and J. H. Walter, “The characterization of finite groups with dihedral Sylow 2-subgroups,” J. Algebra,2, No. 1, 85–151; No. 2, 218–270; No. 3, 353–393 (1965).
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Translated from Sibirskii Matematicheskii Zhurnal, Vol. 25, No. 2, pp. 67–83, March–April, 1984
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Borovik, A.V. Classification of periodic linear groups over fields of odd characteristic. Sib Math J 25, 221–235 (1984). https://doi.org/10.1007/BF00971460
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DOI: https://doi.org/10.1007/BF00971460