Geodesic
The Structure of Some Groups with Finite $H$-Frobenius Elements
Algebra i logika, Tome 43 (2004) no. 2, pp. 220-228.

Voir la notice de l'article provenant de la source Math-Net.Ru

Question 10.61, set up by Sozutov in the “Kourovka Notebook”, is answered in the affirmative for all cases but $|a|=3.5$.
Mots-clés : Frobenius group, kernel. 
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A. M. Popov. The Structure of Some Groups with Finite $H$-Frobenius Elements. Algebra i logika, Tome 43 (2004) no. 2, pp. 220-228. http://geodesic.mathdoc.fr/item/AL_2004_43_2_a5/

[1] Nereshennye voprosy teorii grupp. Kourovskaya tetrad, 10-e izd., In-t matem. SO AN SSSR, Novosibirsk, 1986

[2] A. M. Popov, “Gruppy s konechnymi $H$-frobeniusovymi elementami”, Tez. dokl. IV Mezhd. algebr. konf., posvyasch. 60-letiyu prof. Yu. I. Merzlyakova, Novosibirsk, 2000, 145–146

[3] A. M. Popov, “Ob odnom priznake neprostoty grupp s involyutsiyami”, Algebra i logika, 42:2 (2003), 227–236 | MR | Zbl

[4] A. I. Sozutov, “O gruppakh s klassom frobeniusovo-abelevykh elementov”, Algebra i logika, 34:5 (1995), 531–549 | MR | Zbl

[5] V. P. Shunkov, $M_p$-gruppy, Nauka, M., 1990 | MR | Zbl

[6] A. I. Sozutov, “O stroenii neinvariantnogo mnozhitelya v nekotorykh gruppakh Frobeniusa”, Sib. matem. zh., 35:4 (1994), 893–901 | MR | Zbl