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Compact homogeneous spaces with a semisimple fundamental group. II

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Literature Cited

  1. V. V. Gorbatsevich, “On compact homogeneous spaces with a semisimple fundamental group,” Sib. Mat. Zh.,22, No. 1, 47–67 (1981).

    Google Scholar 

  2. V. V. Gorbatsevich, “On one fibration of a compact homogeneous space,” Tr. Mosk. Mat. Obsh.,43, 116–141 (1981).

    Google Scholar 

  3. V. V. Gorbatsevich, “Modifications of transitive actions of Lie groups on compact manifolds and their applications,” in: Problems in Group Theory and Homological Algebra [in Russian], Yaroslavl State Univ. (1981), pp. 131–145.

  4. A. L. Onishchik, “On Lie groups transitive on compact manifolds. II,” Mat. Sb.,74, No. 3, 398–416 (1967).

    Google Scholar 

  5. Sh. Araki, “Root systems and local classification of irreducible symmetric spaces,” Matematika: Sb. Perevodov,10, No. 1, 90–126 (1966).

    Google Scholar 

  6. V. V. Gorbatsevich, “On one class of decompositions of semisimple groups and Lie algebras,” Mat. Sb.,95, No. 2, 294–304 (1974).

    Google Scholar 

  7. M. Raghunathan, Discrete Subgroups of Lie Groups [Russian translation], Mir, Moscow (1977).

    Google Scholar 

  8. A. L. Onishchik, “On transitive compact transformation groups,” Mat. Sb.,60, No. 4, 447–485 (1963).

    Google Scholar 

  9. V. V. Gorbatsevich, “Two fibrations of a compact homogeneous space and some applications,” Izv. Vyssh. Uchebn. Zaved., Mat., No. 6, 73–75 (1981).

    Google Scholar 

  10. V. V. Gorbatsevich, “On compact homogeneous spaces with a solvable fundamental group,” in: Geometrical Methods in Problems of Analysis and Algebra [in Russian], Yaroslavl State Univ. (1981), pp. 71–87.

  11. J.-P. Serre, “Cohomologies of discrete groups,” Matematika: Sb. Perevodov,18, No. 3, 123–144 (1974).

    Google Scholar 

  12. V. V. Gorbatsevich, “On topological properties of compact homogeneous spaces,” Dokl. Akad. Nauk SSSR,239, No. 5, 1033–1036 (1978).

    Google Scholar 

  13. G. Mostow, “On the topology of homogeneous spaces of finite measure,” Symp. Math. Inst. Naz. Alta Math.,16, 375–398 (1975).

    Google Scholar 

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Moscow. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 27, No. 5, pp. 38–49, September–October, 1986.

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Gorbatsevich, V.V. Compact homogeneous spaces with a semisimple fundamental group. II. Sib Math J 27, 660–669 (1986). https://doi.org/10.1007/BF00969194

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  • DOI: https://doi.org/10.1007/BF00969194

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