Geodesic
On Frobenius pairs of the form $(F\leftthreetimes V,V)$
Sbornik. Mathematics, Tome 68 (1991) no. 1, pp. 165-179 
V. P. Shunkov. On Frobenius pairs of the form $(F\leftthreetimes V,V)$. Sbornik. Mathematics, Tome 68 (1991) no. 1, pp. 165-179. http://geodesic.mathdoc.fr/item/SM_1991_68_1_a8/
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Voir la notice de l'article provenant de la source Math-Net.Ru

A nonsimplicity test for groups is obtained which is connected with certain Frobenius pairs. In the case of finite groups it is a natural complement to Glauberman's familiar $Z^*$-theorem. Bibliography: 10 titles.

[1] Sozutov L. I., Shunkov V. P., “Ob odnom obobschenii teoremy Frobeniusa na beskonechnye gruppy”, Matem. sb., 100(142) (1976), 495–506 | MR | Zbl

[2] Adyan S. I., Problema Bernsaida i tozhdestva v gruppakh, Nauka, M., 1975 | MR | Zbl

[3] Kargapolov M. I., Merzlyakov Yu I., Osnovy teorii grupp, Nauka, M., 1982 | MR | Zbl

[4] Gorenstein D., Finite groups, Harper and Row, N. Y., 1968 | MR | Zbl

[5] Busarkin V. M., Gorchakov Yu. M., Konechnye rasscheplyaemye gruppy, Nauka, M., 1968 | MR

[6] Kurosh A. G., Teoriya grupp, Nauka, M., 1967 | MR | Zbl

[7] Gorchakov Yu. M., Gruppy s konechnymi klassami sopryazhennykh elementov, Nauka, M., 1978 | MR | Zbl

[8] Shunkov V. P., “O periodicheskikh gruppakh s pochti regulyarnoi involyutsiei”, Algebra i logika, 11:4 (1972), 470–494

[9] Shunkov V. P., Gruppy s involyutsiyami, Ch. II. Preprint No 5, VTs SO AN SSSR, Krasnoyarsk, 1986 | MR

[10] Glauberman G., “Central elemente in core free groups”, J. Algebra, 4 (1966), 403–420 | DOI | MR | Zbl