Geodesic
Finite Groups with Two Noncomplemented Subgroups
Matematičeskie zametki, Tome 85 (2009) no. 4, pp. 630-635.

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

The finite groups containing exactly two noncomplemented subgroups are described.
Keywords: finite group, complemented subgroup, completely factorizable group, biprimary group, Sylow subgroup, Schmidt group, dihedral group.
Mots-clés : $p$-group 
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V. N. Tyutyanov; P. V. Bychkov. Finite Groups with Two Noncomplemented Subgroups. Matematičeskie zametki, Tome 85 (2009) no. 4, pp. 630-635. http://geodesic.mathdoc.fr/item/MZM_2009_85_4_a12/

[1] P. Hall, “Complemented groups”, J. London Math. Soc., 12 (1937), 201–204 | Zbl

[2] S. N. Chernikov, Gruppy s zadannymi svoistvami sistemy podgrupp, Nauka, M., 1980 | MR | Zbl

[3] S. N. Chernikov, “Gruppy s sistemami dopolnyaemykh podgrupp”, Matem. sb., 35:1 (1954), 93–128 | MR | Zbl

[4] N. V. Baeva, “Vpolne faktorizuemye gruppy”, Dokl. AN SSSR, 92:5 (1953), 877–880 | MR | Zbl

[5] N. V. Chernikova, “Gruppy s dopolnyaemymi podgruppami”, Matem. sb., 39:3 (1956), 273–292 | MR | Zbl

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

[7] Yu. M. Gorchakov, “Primitivno faktorizuemye gruppy”, Uch. zapiski Permsk. un-ta, 17, 2, 1960, 15–31

[8] G. A. Malanina, “Gruppy s odnoi nedopolnyaemoi podgruppoi”, Beskonechnye gruppy i primykayuschie algebraicheskie struktury, IM AN USSR, Kiev, 1993, 188–194

[9] D. Gorenstein, Finite Groups, Harper Row, New York, 1968 | MR | Zbl

[10] M. Kholl, Teoriya grupp, IL, M., 1962 | MR | Zbl

[11] Y. Berkovich, “On subgroups of finite $p$-groups”, J. Algebra, 224:2 (2000), 198–240 | DOI | MR | Zbl