References
Wielandt H., “Verallgemeinerung der invarianten Untergruppen,” Math. Z., Bd 45, 209–244 (1939).
Kegel O. H., “Untergruppenverbände endlicher Gruppen, die den Subnormalteilerverband echt enthalten,” Arch. Math., Bd 30, No. 3, 225–228 (1978).
Shemetkov L. A., Formations of Finite Groups [Russian], Nauka, Moscow (1978).
Doerk K. and Hawkes T., Finite Soluble Groups, Walter de Gruyter, Berlin and New York (1992).
Kourovskaya Tetrad': Nereshennye Problemy Teorii Grupp [in Russian], Inst. Mat. (Novosibirsk), Novosibirsk (1992).
Vasil'ev A. F., Kamornikov S. F., and Semenchuk V. N., “On subgroup lattices of finite groups,” in: Infinite Groups and Related Algebraic Systems [in Russian], Inst. Mat. Akad. Nauk Ukrainy, Kiev, 1993, pp. 27–54.
Ballester-Bolinches A., Doerk K., and Perez-Ramos M. D., “On the lattice of F-subnormal subgroups,” J. Algebra, 148, 42–52 (1992).
Plotkin B. I., “Radicals in groups, operations on group classes, and radical classes,” in: Selected Questions of Algebra and Logic [in Russian], Nauka, Novosibirsk, 1973, 205–244.
Skiba A. N., “On a certain class of local formations of finite groups,” Dokl. Akad. Nauk BSSR, 34, No. 11, 382–385 (1990).
Semenchuk V. N. and Vasil'ev A. F., “Characterizations of local formations F by given properties of minimal non—F—groups,” in: Studies of the Normal and Subgroup Structure of Finite Groups [in Russian], Nauka i Tekhnika, Minsk, 1984, pp. 175–181.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Vasil'ev, A.F., Kamornikov, S.F. On the Functorial Method for Studying the Lattices of Subgroups of Finite Groups. Siberian Mathematical Journal 42, 25–33 (2001). https://doi.org/10.1023/A:1004881107473
Issue Date:
DOI: https://doi.org/10.1023/A:1004881107473