Literature Cited
S. D. Kozlov, “On finite minimal unsolvable groups,” in:Structural Questions of Group Theory [in Russian], Ural'sk. Nauch. Tsentr Akad. Nauk SSSR, Sverdlovsk (1986), pp. 65–70.
U. Dempwolff, “On extensions of elementary abelian 2-groups by Σ n ,”Glasg. Math.,14, No. 1, 35–40 (1979).
U. Dempwolff, “On the extensions of an elementary group of order 25 by GL (5, 2),”Rend. Sem. Math. Univ. Padova,48, 359–364 (1972).
R. L. Griess, “Automorphisms of extraspecial groups and nonvanishing degree 2 cohomology,”Pac. J. Math.,48, No. 2, 403–422 (1973).
B. Huppert,Endliche Gruppen, Vol. I, Berlin (1967).
L. A. Shemetkov,Formations of finite groups [in Russian], Nauka, Moscow (1978).
J. G. Thompson, “Nonsolvable finite groups all of whose local subgroups are solvable,”Bull. Amer. Math. Soc.,74, No. 3, 383–437 (1968).
J. Cossey, O. H. Kegel, and L. G. Kovács, “Maximal Frattini extensions,”Arch. Math.,35, No. 3, 210–217 (1980).
W. Feit,The Representation Theory of Finite Groups, Amsterdam (1982).
A. A. Nechaev, “Finite principal-ideal rings,”Mat. Sb.,91, No. 6, 350–366 (1973).
Yu. I. Merzlyakov, “Central series and series of commutants of matrix groups,”Algebra i Logika,3, No. 4, 49–59 (1964).
G. Hiss, “Die adjungierten Darstellungen der Chevalley-Gruppen,”Arch. Math.,42, No. 5, 408–416 (1984).
J. F. Hurley, “Centers of Chevalley algebras,”J. Math. Soc. Japan,34, No. 2, 219–222 (1982).
M. I. Kargapolov and Yu. I. Merzlyakov,Foundations of Group Theory [in Russian], Nauka, Moscow (1982).
D. Gorenstein,Finite Simple Groups: An Introduction to their Classification, Plenum, New York (1982).
Additional information
Barnaul. Translated fromSibirskii Matematicheskii Zhurnal, Vol. 32, No. 2, pp. 88–93, March–April, 1991.
Rights and permissions
About this article
Cite this article
Kozlov, S.D. On frattini extensions of the projective special linear group. Sib Math J 32, 252–256 (1991). https://doi.org/10.1007/BF00972771
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00972771