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Factorization of linear groups and groups which have a normal system with linear factors

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Literature cited

  1. B. A. F. Wehrfritz, Infinite Linear Groups, Springer, Berlin (1973).

    Google Scholar 

  2. H. Wielandt, “Über Produkte von nilpotenten Gruppen,” Ill, J. Math.,2, No. 4, 611–618 (1958).

    Google Scholar 

  3. A. G. Kurosh, Group Theory [in Russian], 3rd ed., Suppl., Nauka, Moscow (1967).

    Google Scholar 

  4. M. I. Kargapolov and Yu. I. Merzlyakov, Foundations of Group Theory [in Russian], 1st ed., Nauka, Moscow (1972).

    Google Scholar 

  5. V. P. Platonov, “Theory of algebraic linear groups and periodic groups,” Izv. Akad. Nauk SSSR, Ser. Mat.,30, No. 3, 573–620 (1966).

    Google Scholar 

  6. O. H. Kegel, “On the solvability of some factorized linear groups,” Ill, J. Math.,9, No. 3, 535–547 (1965).

    Google Scholar 

  7. N. S. Chernikov, Groups Which Decompose into a Product of Commuting Subgroups [in Russian], Naukova Dumka, Kiev (1987).

    Google Scholar 

  8. O. H. Kegel and B. A. F. Wehrfritz, Locally Finite Groups, North-Holland, Amsterdam, etc. (1973).

    Google Scholar 

  9. B. I. Plotkin, Automorphism Groups of Algebraic Systems [in Russian], Nauka, Moscow (1966).

    Google Scholar 

  10. D. A. Suprunenko, Matrix Groups [in Russian], Nauka, Moscow (1972).

    Google Scholar 

  11. N. S. Chernikov, “Solvability and almost solvabilkty conditions for infinite factorable groups,” in: 18th All-Union Algebra Conference. Abstracts of Reports (Kishinev, Sept. 16–18, 1985) [in Russian], Part 2, Inst. Matematiki c Vychisl, Tsent. AN MSSR, Kishinev (1985).

    Google Scholar 

  12. N. S. Chernikov, “Factorization of infinite groups by pairwise commuting subgroups,” in: Structure of Groups and their Subgroup Characterization [in Russian], Inst. Mat. Akad. Nauk UkrSSR, Kiev (1984), pp. 47–66.

    Google Scholar 

  13. S. N. Chernikov, “Local finiteness conditions for single-sheeted p-groups,” Dokl. Akad. Nauk SSSR,147, No. 1, 49–52 (1962).

    Google Scholar 

  14. A. G. Kurosh, “Some remarks on the theory of infinite groups,” Mat. Sb.,5, No. 2, 347–354 (1939).

    Google Scholar 

  15. N. S. Chernikov, “Solvability conditions for infinite factorable groups,” in: Ninth All-Union Symposium on Group Theory: Abstracts of Reports (Moscow, Sept. 18–20, 1984) [in Russian], V. I. Lenin Moscow State Pedagog. Inst. (MGPI), Moscow (1984), pp. 75–76.

    Google Scholar 

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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 40, No. 3, pp. 362–369, May–June, 1988.

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Chernikov, N.S. Factorization of linear groups and groups which have a normal system with linear factors. Ukr Math J 40, 311–317 (1988). https://doi.org/10.1007/BF01061311

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