Voir la notice de l'article provenant de la source Math-Net.Ru
@article{TIMB_2008_16_1_a6, author = {L. S. Kazarin}, title = {Finite groups with factorization}, journal = {Trudy Instituta matematiki}, pages = {40--46}, publisher = {mathdoc}, volume = {16}, number = {1}, year = {2008}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/TIMB_2008_16_1_a6/} }
L. S. Kazarin. Finite groups with factorization. Trudy Instituta matematiki, Tome 16 (2008) no. 1, pp. 40-46. http://geodesic.mathdoc.fr/item/TIMB_2008_16_1_a6/
[1] Huppert B., Endliche Gruppen I, Springer-Verlag, Berlin u.a., 1967 | MR | Zbl
[2] Liebeck M.W., Praeger C.E., Saxl J., The maximal factorizations of the finite simple groups and their automorphism group, Memoirs of the AMS, 86, no. 432, Providence, R.I., USA, 1990 | MR
[3] Conway J.H., Curtis R.T., Norton S.P., Parker R.A., Wilson R.A., Atlas of Finite Groups, Clarendon Press, Oxford, 1985 | MR | Zbl
[4] Chunikhin S.A., “O nekotorykh napravleniyakh v razvitii teorii konechnykh grupp za poslednie gody”, UMN, 16:4 (1961), 31–50 | MR | Zbl
[5] Burnside W., “On groups of order $p^aq^b$”, Proc. London Math. Soc., 2 (1904), 388–392 | DOI | Zbl
[6] Ito N., “Über das Produkt von zwei abelschen Gruppen”, Math. Z., 62 (1955), 400–401 | DOI | MR | Zbl
[7] Kegel O.H., “Produkte nilpotenter Gruppen”, Arch. Math., 12 (1961), 90–93 | DOI | MR | Zbl
[8] Amberg B., Franciosi S., de Giovanni F., Products of groups, Clarendon Press, Oxford, 1992 | MR | Zbl
[9] Arad Z., Fisman E., “A proof of Szep's conjecture on nonsimplicity of certain finite groups”, J. Algebra, 108 (1987), 340–354 | DOI | MR | Zbl
[10] Iiyori N., Yamaki H., “Prime graph components of the simple groups of Lie type of even characteristic”, J. Algebra, 155 (1993), 335–343 | DOI | MR | Zbl
[11] Kazarin L.S., “The product of a group with a cyclic Sylow $p$-subgroup and a group with a nontrivial center”, Ukrainian Math. J., 44 (1993), 697–702 | DOI | MR
[12] Wielandt H., “Zusammengesetzte Gruppen: Hölders Programm Heute”, The Santa Cruz Conf. on Finite Groups (1979), Proc. Sympos. Pure Math., 37, eds. B. Cooperestein and G. Mason, AMS, Providence, 1980, 161–173 | MR
[13] Chunikhin S.A., Shemetkov L.A., Konechnye gruppy, Itogi nauki. Matematika. Algebra. Topologiya. Geometriya. 1969, VINITI, M., 1971 | MR
[14] Kazarin L.S., Gruppy s faktorizatsiei, Dep. VINITI No 3900–81 Dep., Yaroslavl, 1981, 79 pp.
[15] Kazarin L.S., “Issledovaniya po teorii grupp v Yaroslavskom universitete”, Matematika v Yaroslavskom universitete, Yaroslavl, 1996, 93–106 | MR | Zbl
[16] Kazarin L.S., “Konechnye gruppy s faktorizatsiei, nilpotentnye algebry i kharaktery konechnykh grupp”, Matematika v Yaroslavskom universitete, Yaroslavl, 2001, 133–144 | MR | Zbl
[17] Kazarin L. S., Kurdachenko L.A., “Usloviya konechnosti i faktorizatsii v beskonechnykh gruppakh”, UMN, 47:3(285) (1992), 75–114 | MR | Zbl
[18] Kostrikin A.I., Konechnye gruppy, Itogi nauki. Ser. Matematika. Algebra. Topologiya. Geometriya. 1964, VINITI, M., 1966
[19] Kondratev A.S., Makhnev A.A., Starostin A.I., Konechnye gruppy, Itogi nauki. Ser. Matematika. Algebra. Topologiya. Geometriya, 24, VINITI, M., 1986
[20] Mazurov V.D., Konechnye gruppy, Itogi nauki. Ser. Matematika. Algebra. Topologiya. Geometriya, 14, VINITI, M., 1976
[21] Chernikov N.S., Gruppy, razlozhimye v proizvedenie perestanovochnykh podgrupp, Naukova Dumka, Kiev, 1987 | MR | Zbl
[22] Chunikhin S.A., “O suschestvovanii podgrupp u konechnoi gruppy”, Tr. sem. po teorii grupp, GONTI, M.; L., 1938
[23] Amberg B., Carocca A., Kazarin L., “Criteria for the solubility and non-simplicity of finite groups”, J. Algebra, 285 (2005), 58–72 | DOI | MR | Zbl
[24] Williams J.S., “Prime graph components of finite groups”, J. Algebra, 69 (1981), 487–513 | DOI | MR | Zbl
[25] Kondrat'ev A.S., “Prime graph components of finite simple groups”, Math. USSR Sbornik, 67 (1990), 235–247 | DOI | MR
[26] Kazarin L.S., “Groups which are the product of two solvable subgroups”, Comm. Algebra, 14 (1986), 1001–1066 | DOI | MR | Zbl
[27] Abe B., Iiyori N., “A generalization of prime graphs of finite groups”, Hokkaido Math. J., 29 (2000), 391–407 | MR | Zbl
[28] Iiyori N., “$p$-solvability and a generalization of prime graphs of finite groups”, Comm. Algebra, 30 (2002), 1679–1691 | DOI | MR | Zbl
[29] Berkovich Ya., Kazarin L., “Indices of elements and normal structure of finite groups”, J. Algebra, 283 (2005), 564–583 | DOI | MR | Zbl
[30] Camina A.R., Camina R.D., “Implications of conjugacy class size”, J. Group Theory, 1:3 (1998), 257–269 | DOI | MR | Zbl
[31] Monakhov V.S., Tyutyanov V.I., Sib. mat. zhurn., 48:4 (2007), 833–836 | MR | Zbl
[32] Monakhov V.S., “Finite groups with Hall supplements to primitive subgroups”, Sib. Math. J., 45 (2007), 359–368 | MR
[33] Arad Z., Fisman E., “On finite factorizable groups”, J. Algebra, 96 (1984), 522–548 | DOI | MR
[34] Kazarin L. S., “O probleme Sepa”, Izv. AN SSSR. Matematika, 50:3 (1986), 479–507 | MR | Zbl
[35] Kazarin L.S., “O $p^\alpha$-lemme Bernsaida”, Mat. zametki, 48 (1990), 45–48 | MR | Zbl
[36] Wiegold J., Williamson A.G., “The factorization of the alternating and symmetric groups”, Math. Z., 175 (1980), 171–179 | DOI | MR | Zbl
[37] Wielandt H., “Über Produkte von nilpotenter Gruppen”, Ill. J. Math., 2 (1958), 611–618 | MR | Zbl