Mots-clés : formation.
@article{SM_2012_203_3_a1,
author = {V. A. Vedernikov},
title = {Finite groups with {Hall} $\pi$-subgroups},
journal = {Sbornik. Mathematics},
pages = {326--350},
year = {2012},
volume = {203},
number = {3},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_2012_203_3_a1/}
}
V. A. Vedernikov. Finite groups with Hall $\pi$-subgroups. Sbornik. Mathematics, Tome 203 (2012) no. 3, pp. 326-350. http://geodesic.mathdoc.fr/item/SM_2012_203_3_a1/
[1] P. Hall, “Theorems like Sylow's”, Proc. London Math. Soc. (3), 6:22 (1956), 286–304 | DOI | MR | Zbl
[2] S. A. Chunikhin, “Ob oslablenii uslovii v teoremakh tipa Silova”, Dokl. AN SSSR, 83:5 (1952), 663–665 | MR | Zbl
[3] S. A. Chunikhin, “O suschestvovanii i sopryazhennosti podgrupp u konechnoi gruppy”, Matem. sb., 33(75):1 (1953), 111–132 | MR | Zbl
[4] S. A. Chunikhin, Subgroups of finite groups, Wolters-Noordhoff Publ., Groningen, 1969 | MR | MR | Zbl | Zbl
[5] H. Wielandt, “Zum Satz von Sylow”, Math. Z., 60:1 (1954), 407–408 | DOI | MR | Zbl
[6] R. Baer, “Verstreute Untergruppen endlicher Gruppen”, Arch. Math., 9:1–2 (1958), 7–17 | DOI | MR | Zbl
[7] L. A. Shemetkov, “$D$-stroenie konechnykh grupp”, Matem. sb., 67(109):3 (1965), 384–407 | MR | Zbl
[8] L. A. Shemetkov, Formatsii konechnykh grupp, Nauka, M., 1978 | MR | Zbl
[9] F. Gross, “On the existence of Hall subgroups”, J. Algebra, 98:1 (1986), 1–13 | DOI | MR | Zbl
[10] F. Gross, “On a conjecture of Philip Hall”, Proc. London Math. Soc. (3), 52:3 (1986), 464–494 | DOI | MR | Zbl
[11] F. Gross, “Conjugacy of odd order Hall subgroups”, Bull. London Math. Soc., 19:4 (1987), 311–319 | DOI | MR | Zbl
[12] G. Vilandt, “Puti razvitiya strukturnoi teorii konechnykh grupp”, Obzornye doklady mezhdunardnogo matematicheskogo kongressa v Edinburge, Fizmatgiz, M., 1962, 263–276
[13] Kourovskaya tetrad, Nereshennye voprosy teorii grupp, 15-e izd., In-t mat. SO RAN, Novosibirsk, 2002 | MR
[14] L. A. Šemetkov, “Sylow properties of finite groups”, Math. USSR-Sb., 5:2 (1968), 261–274 | DOI | MR | Zbl
[15] L. A. Shemetkov, “O silovskikh svoistvakh konechnykh grupp”, Dokl. AN BSSR, 16:10 (1972), 881–883 | MR | Zbl
[16] V. D. Mazurov, D. O. Revin, “On the Hall $D_\pi$-property for finite groups”, Siberian Math. J., 38:1 (1997), 106–113 | DOI | MR | Zbl
[17] D. O. Revin, “A characterization of finite $D_\pi$-groups”, Dokl. Math., 76:3 (2007), 925–928 | DOI | MR | Zbl
[18] D. O. Revin, E. P. Vdovin, “Hall subgroups of finite groups”, Ischia group theory (Naples, Italy, 2004), Contemp. Math., 402, Amer. Math. Soc., Providence, RI, 2006, 229–265 | DOI | MR | Zbl
[19] B. A. Hartley, “A theorem of Sylow type for finite groups”, Math. Z., 122:3 (1971), 223–226 | DOI | MR | Zbl
[20] K. Doerk, T. Nawkes, Finite soluble groups, de Gruyter Exp. Math., 4, de Gruyter, Berlin–New York, 1992 | MR | Zbl
[21] D. Gorenstein, Finite simple groups. An introduction to their classification, Plenum Press, New York–London, 1982 | MR | MR | Zbl | Zbl
[22] D. O. Revin, E. P. Vdovin, “On the number of classes of conjugate Hall subgroups in finite simple groups”, J. Algebra, 324:12 (2010), 3614–3652 | DOI | MR | Zbl
[23] M. Aschbacher, L. Scott, “Maximal subgroups of finite groups”, J. Algebra, 92:1 (1985), 44–80 | DOI | MR | Zbl
[24] E. P. Vdovin, D. O. Revin, “A conjugacy criterion for Hall subgroups in finite groups”, Siberian Math. J., 51:3 (2010), 402–409 | DOI | MR | Zbl
[25] D. O. Revin, E. P. Vdovin, “An existence criterion for Hall subgroups of finite groups”, J. Group Theory, 14:1 (2011), 93–101 | DOI | MR | Zbl
[26] D. O. Revin, “The $D_\pi$-property in a class of finite groups”, Algebra and Logic, 41:3 (2002), 187–206 | DOI | MR | Zbl
[27] M. Hall, The theory of groups, Macmillan, New York, 1959 | MR | Zbl | Zbl
[28] V. A. Vedernikov, “Subdirect products of finite groups with Hall $\pi$-subgroups”, Math. Notes, 59:2 (1996), 219–221 | DOI | MR | Zbl
[29] E. P. Vdovin, O. D. Revin, L. A. Shemetkov, “Formatsii konechnykh $C_\pi$-grupp”, Tezisy dokladov X Belorusskoi matematicheskoi konferentsii, In-t matem. NAN Belarusi, Minsk, 2008, 12–13
[30] O. D. Revin, Khollovy podgruppy konechnykh grupp, Dis. $\dots$ dokt. fiz.-matem. nauk, In-t matem. im. S. L. Soboleva SO RAN, Novosibirsk, 2008