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On the lattice of subgroups of finite groups. (English) Zbl 0043.02502

Keywords:
group theory
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[1] Reinhold Baer, The Significance of the System of Subgroups for the Structure of the Group, Amer. J. Math. 61 (1939), no. 1, 1 – 44. · Zbl 0020.34704
[2] Reinhold Baer, Duality and commutativity of groups, Duke Math. J. 5 (1939), 824 – 838. · Zbl 0022.20804
[3] Garrett Birkhoff, Lattice theory, American Mathematical Society Colloquium Publications, Vol. XXV, American Mathematical Society, Providence, R.I., 1961. Revised ed. · JFM 66.0100.04
[4] -, Lattice theory, rev. ed., 1949.
[5] W. Burnside, Theory of groups of finite order, Dover Publications, Inc., New York, 1955. 2d ed. · Zbl 0064.25105
[6] Kenkiti Iwasawa, Über die endlichen Gruppen und die Verbände ihrer Untergruppen, J. Fac. Sci. Imp. Univ. Tokyo. Sect. I. 4 (1941), 171 – 199 (German). · Zbl 0061.02503
[7] Alfred W. Jones, The lattice isomorphisms of certain finite groups, Duke Math. J. 12 (1945), 541 – 560. · Zbl 0063.03062
[8] Oystein Ore, Structures and group theory. II, Duke Math. J. 4 (1938), no. 2, 247 – 269. · Zbl 0020.34801
[9] Oystein Ore, Contributions to the theory of groups of finite order, Duke Math. J. 5 (1939), no. 2, 431 – 460. · JFM 65.0065.06
[10] H. Zassenhaus, Lehrbuch der Gruppentheorie I, 1937. · JFM 63.0058.03
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