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Literature Cited
M. Suzuki, The Structure of a Group and the Structure of the Lattice of Its Subgroups [Russian translation], IL, Moscow (1960).
M. Goto, “Lattices of subalgebras of real Lie algebras,” J. Algebra,11, No. 1, 6–24 (1969).
Yu. N. Mukhin, “Projections of connected groups,” in: Eleventh All-Union Algebraic Colloquium [in Russian], Kishinev (1971), p. 65.
L. N. Shevrin, “Elementary lattice properties of semigroups,” Sib. Mat. Zh.7, No. 3, 664–684 (1966).
M. I. Kargapolov, “On the elementary theory of lattices of subgroups,” Algebra Logika,1, No. 3, 46–53 (1962).
Yu. N. Mukhin, “Locally compact groups with a distributive lattice of closed subgroups” Sib. Mat. Zh.,8, No. 2, 366–375 (1967).
Yu. N. Mukhin and S. P. Khomenko, “Monotype groups and a subgroup lattice,” Mat. Zap. Uralsk. Gos. Univ.,6, No. 1, 67–79 (1967).
D. H. Lee, “Supplements for the identity component in locally compact groups,” Math. Z.,104, No. 1, 28–49 (1968).
Yu. N. Mukhin and E. N. Starukhina, “On the groups of finite rank,” Mat. Zap. Uralsk. Univ.9, No. 1, 56–60 (1974).
Yu. N. Mukhin, “Topological Abelian groups with a Dedekind lattice of closed subgroups,” Mat. Zametki.,8, No. 4, 509–520 (1970).
Yu. N. Mukhin, “Projections of pure nilpotent groups,” Algebra Logika,5, No.4, 43–54 (1966).
Yu. N. Mukhin, “On the automorphisms fixing closed subgroups of a topological group,” Sib. Mat. Zh.,16, No. 6, 1231–1239 (1976).
Theory of Lie, Algebras. Topology of Lie Groups. “Sophus Lie” Seminar [Russian translation], IL, Moscow (1962).
R. Carter, “Simple groups and simple Lie algebras,” Matematika,10, No. 5, 3–47 (1966).
M. Suzuki, “On the lattice of subgroups of finite groups,” Trans. Am. Math. Soc.,70, 245–371 (1951).
A. Borel and de Ziebenthal, “Les sous-groupes fermes connexes de rang maximum des groupes de Lie clos,” Comment Math. Helv.,23, 200–221 (1949–1950).
Additional information
Institute of Mathematics and Mechanics, Ural Science Center, Academy of Sciences of the USSR, Sverdlovsk. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 20, No. 4, pp. 826–834, July–August, 1979.
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Mukhin, Y.N. Subgroup lattices of connected groups. Sib Math J 20, 579–585 (1979). https://doi.org/10.1007/BF00970371
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DOI: https://doi.org/10.1007/BF00970371