Czasopismo
Tytuł artykułu
Autorzy
Warianty tytułu
Języki publikacji
Abstrakty
New criteria of existence and conjugacy of Hall subgroups of finite groups are given.
Słowa kluczowe
Kategorie tematyczne
Wydawca
Czasopismo
Rocznik
Tom
Numer
Strony
1177-1187
Opis fizyczny
Daty
wydano
2013-07-01
online
2013-04-26
Twórcy
autor
- Department of Mathematics, University of Science and Technology of China, Jinzhai Str. 96, Hefei, 230026, China, wbguo@ustc.edu.cn
autor
- Department of Mathematics, Francisk Skorina Gomel State University, Sovetskaya Str. 204, Gomel, 246019, Belarus, alexander.skiba49@gmail.com
Bibliografia
- [1] Ballester-Bolinches A., Esteban-Romero R., Asaad M., Products of Finite Groups, de Gruyter Exp. Math., 53, Walter de Gruyter, Berlin, 2010 http://dx.doi.org/10.1515/9783110220612[Crossref]
- [2] Čunihin S.A., On π-separate groups, Doklady Akad. Nauk SSSR (N.S.), 1948, 59, 443–445 (in Russian)
- [3] Čunihin S.A., On weakening the conditions in theorems of Sylow type, Doklady Akad. Nauk SSSR (N.S.), 1952, 83, 663–665 (in Russian) [WoS]
- [4] Čunihin S.A., On existence and conjugateness of subgroups of a finite group, Mat. Sb. (N.S.), 1953, 33(75), 111–132 (in Russian)
- [5] Doerk K., Hawkes T., Finite Soluble Groups, de Gruyter Exp. Math., 4, Walter de Gruyter, Berlin, 1992 http://dx.doi.org/10.1515/9783110870138
- [6] Foguel N., On seminormal subgroups, J. Algebra, 1994, 165(3), 633–635 http://dx.doi.org/10.1006/jabr.1994.1135[Crossref]
- [7] Guo W., Shum K.P., Skiba A.N., X-semipermutable subgroups of finite groups, J. Algebra, 2007, 315(1), 31–41 http://dx.doi.org/10.1016/j.jalgebra.2007.06.002[Crossref]
- [8] Guo W.B., Skiba A.N., Criteria of existence of Hall subgroups in non-soluble finite groups, Acta Math. Sin. (Engl. Ser.), 2010, 26(2), 295–304 http://dx.doi.org/10.1007/s10114-010-8034-6[Crossref][WoS]
- [9] Guo W., Skiba A.N., New criterions of existence and conjugacy of Hall subgroups of finite groups, Proc. Amer. Math. Soc., 2011, 139(7), 2327–2336 http://dx.doi.org/10.1090/S0002-9939-2010-10675-5[Crossref]
- [10] Hall P., A characteristic property of soluble groups, J. London Math. Soc., 1937, s1–12(3), 198–200 http://dx.doi.org/10.1112/jlms/s1-12.2.198[Crossref]
- [11] Hall P., Theorems like Sylow’s, Proc. London Math. Soc., 1956, 6, 286–304 http://dx.doi.org/10.1112/plms/s3-6.2.286[Crossref]
- [12] Kegel O.H., Produkte nilpotenter Gruppen, Arch. Math. (Basel), 1961, 12, 90–93 http://dx.doi.org/10.1007/BF01650529[Crossref]
- [13] Kegel O.H, Sylow-Gruppen and Subnormalteiler endlicher Gruppen, Math. Z., 1962, 78, 205–221 http://dx.doi.org/10.1007/BF01195169[Crossref]
- [14] Knyagina V.N., Monakhov V.S., On the π′-properties of a finite group possessing a Hall π-subgroup, Sib. Math. J., 2011, 52(2), 234–243 http://dx.doi.org/10.1134/S0037446611020066[Crossref]
- [15] Revin D.O., Vdovin E.P., Hall subgroups of finite groups, In: Ischia Group Theory 2004, Naples, March 31–April 3, 2004 Contemp. Math., 402, American Mathematical Society/Bar-Ilan University, Providence/Ramat Gan, 2006, 229–265
- [16] Rusakov S.A., Analogues of Sylow’s theorem on the existence and imbedding of subgroups, Sibirsk. Mat. Zh., 1963, 4(2), 325–342 (in Russian)
- [17] Shemetkov L.A., On Sylow properties of finite groups, Dokl. Akad. Nauk BSSR, 1972, 16(10), 881–883 (in Russian)
- [18] Shemetkov L.A., Formations of Finite Groups, Nauka, Moscow, 1978 (in Russian)
- [19] Vdovin E.P., Revin D.O., A conjugacy criterion for Hall subgroups in finite groups, Sib. Math. J., 2010, 51(3), 402–409 http://dx.doi.org/10.1007/s11202-010-0041-4[Crossref]
- [20] Wielandt H., Zum Satz von Sylow. II, Math. Z., 1959, 71, 461–462 http://dx.doi.org/10.1007/BF01181418[Crossref]
- [21] Wielandt H., Subnormal Subgroups and Permutation Groups, Ohio State University, Columbus, 1971
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.doi-10_2478_s11533-013-0239-3