Geodesic
A problem in the theory of formations of finite groups
Matematičeskie zametki, Tome 62 (1997) no. 1, pp. 52-58.

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In 1968 Carter, Fisher, and Hawkes developed the method of extremal classes to study local formations and their critical groups in the class of finite solvable groups. In the present paper the problem of Shemetkov on the extension of this method to arbitrary finite groups is solved. 
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A. F. Vasil'ev. A problem in the theory of formations of finite groups. Matematičeskie zametki, Tome 62 (1997) no. 1, pp. 52-58. http://geodesic.mathdoc.fr/item/MZM_1997_62_1_a4/

[1] Carter R., Fischer B., Hawkes T., “Extreme classes of finite soluble groups”, J. Algebra, 9:3 (1968), 285–313 | DOI | MR

[2] Shemetkov L. A., Formatsii konechnykh grupp, Nauka, M., 1978 | Zbl

[3] Doerk K., Hawkes T., Finite Soluble Groups, Walter de Gruyter, Berlin–New York, 1972

[4] Semenchuk V. N., “Minimalnye ne $\mathbb F$-gruppy”, Algebra i logika, 18:3 (1979), 348–382 | MR | Zbl

[5] Huppert B., Blackburn N., Finite Groups, V. III, Springer, Berlin–Heidelberg–New York, 1982

[6] Shemetkov L. A., Skiba A. N., Formatsii algebraicheskikh sistem, Nauka, M., 1990