On locally finite groups whose cyclic subgroups are monopronormal
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Rose J.S. "Nilpotent subgroups of finite soluble groups", Math. Z., 1968; 106(2): pp. 97-112.
Ba M.S., Borevich Z.I. "On arrangement of intermediate subgroups", Rings and Linear Groups, 1988; pp. 14-41.
Dedekind R. "Ueber Gruppen, deren sämmtliche Theiler Normaltheiler sind", Math. Ann., 1897; 48(4): pp. 548-561. (in German)
Baer R. "Situation der Untergruppen, und Struktur der Gruppe", S.-B. Heidelberg Acad. Math.-Nat. Klasse, 1933; 2: pp. 12-17. (in German)
Pypka A.A. Turbay N.A. "On some generalization of pronormal subgroups in locally finite group", Res. Math., 2015; 23: pp. 107-110. doi:10.15421/241513
Ballester-Bolinches A., Esteban-Romero R. "Sylow permutable subnormal subgroups of finite groups", J. Algebra, 2002; 251: pp. 727-738.
Rose J.S. A course on group theory, Cambridge Univ. Press, 1978; 318 p.
Feit W., Thompson J.G. "Solvability of groups of odd order", Pacific J. Math, 1963; 13(3): pp. 755-787.
McLain D.H. "Finiteness conditions in locally soluble groups", J. London Math. Soc., 1959; 34(1): pp. 101-107.
Schmidt R. Subgroups Lattices of Groups, Walter de Gruyter, 1994.
Ballester-Bolinches A., Kurdachenko L.A., Otal J., Pedraza T. "Infinite groups with many permutable subgroups", Rev. Mat. Iberoam., 2008; 24(3): pp. 745-764.
Dixon M.R. Sylow theory, formations and Fitting classes in locally finite groups, World Sci. Publ., 1994.
Kurosh A.G. The theory of groups, Nauka, 1967.
Chernikov S.N. "On complementability of the Sylow $$$\pi$$$-subgroups in some classes of infinite groups", Matem. sbornik, 1955; 37: pp. 557-566.
DOI: https://doi.org/10.15421/241711
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