Recherche et téléchargement d’archives de revues mathématiques numérisées

 
 
  Table des matières de ce fascicule | Article précédent
Stewart, Ian
Conjugacy theorems for a class of locally finite Lie algebras. Compositio Mathematica, 30 no. 2 (1975), p. 181-210
Texte intégral djvu | pdf | Analyses MR 382377 | Zbl 0303.17006 | 1 citation dans Numdam

URL stable: http://www.numdam.org/item?id=CM_1975__30_2_181_0

Bibliographie

[1] R.K. Amayo and Ian Stewart: Infinite-dimensional Lie algebras. Noordhoff International, Leyden 1974.  MR 396708 |  Zbl 0302.17006
[2] R.K. Amayo and Ian Stewart: Descending chain conditions for Lie algebras of prime characteristic. J. Algebra (to appear).  MR 374218 |  Zbl 0311.17006
[3] D.W. Barnes and H.M. Gastineau-Hills: On the theory of soluble Lie algebras. Math. Z. 106 (1968) 343-354.
Article |  MR 232807 |  Zbl 0164.03701
[4] D.W. Barnes and M.L. Newell: Some theorems on saturated homomorphs of soluble Lie algebras. Math. Z. 115 (1970) 179-187.
Article |  MR 266969 |  Zbl 0197.03003
[5] A. Borel: Linear algebraic groups. Ann. of Math. (2) 64 (1956) 20-82.  MR 204532 |  Zbl 0070.26104
[6] A. Borel: Linear algebraic groups. Benjamin, New York 1969.  MR 251042 |  Zbl 0186.33201
[7] N. Bourbaki: Topologie Générale I. 3rd edition, Hermann, Paris 1961.  Zbl 0249.54001
[8] N. Bourbaki: General Topology part 1. Addison-Wesley, Reading Massachusetts 1966.  Zbl 0301.54001
[9] R.W. Carter: Nilpotent self-normalizing subgroups of soluble groups. Math. Z. 75 (1961) 136-139.
Article |  MR 123603 |  Zbl 0168.27301
[10] C. Chevalley: Théorie des groupes de Lie, tome II: groupes algébriques. Hermann, Paris 1951.  MR 51242 |  Zbl 0054.01303
[11] P. Deligne: Private communication, 1973.
[12] A.D. Gardiner, B. Hartley and M.J. Tomkinson: Saturated formations and Sylow structure in locally finite groups. J. Algebra 17 (1971) 177-211.  MR 272897 |  Zbl 0215.10605
[13] W. Gaschütz: Zur Theorie der endlichen auflösbaren Gruppen. Math. Z. 80 (1963) 300-305.
Article |  MR 179257 |  Zbl 0111.24402
[14] A. Grothendieck: Éléments de Géometrie algébrique IV(1). Publ. Math. I.H.E.S. 20 (1964) 101-355.
Numdam |  Zbl 0136.15901
[15] B. Hartley: Locally nilpotent ideals of a Lie algebra. Proc. Cambridge Philos. Soc. 63 (1967) 257-272.  MR 213402 |  Zbl 0147.28201
[16] J.E. Humphreys: Introduction to Lie algebras and representation theory, Graduate texts in mathematics 9. Springer, Berlin 1972.  MR 499562 |  Zbl 0254.17004
[17] N. Jacobson: Lie algebras, Interscience. New York 1962.  MR 143793 |  Zbl 0121.27504
[18] A.A. Klimowicz: Fitting and formation theory in locally finite groups, Ph.D. thesis. University of Warwick 1973.
[19] A.A. Klimowicz: Formation theory in locally finite groups (to appear).  MR 384936 |  Zbl 0304.20020
[20] A.A. Klimowicz: Sylow structure and basis normalizers in a class of locally finite groups (to appear).  MR 396757 |  Zbl 0356.20033
[21] A.G. Kuroš: Theory of groups vol. 2, translated by K.A. Hirsch. Chelsea, New York 1956.  MR 80089
[22] J.-P. Serre: Groupes proalgébriques. Publ. Math. I.H.E.S. 7 (1960) 341-403.
Numdam |  MR 118722 |  Zbl 0097.35901
[23] L.A. Simonjan: Two radicals of Lie algebras. Dokl. Akad. Nauk. SSSR 157 (1964) 281-283; Soviet Math. Doklady 5 (1964) 941-944.  MR 163936 |  Zbl 0136.30403
[24] I.N. Stewart: The minimal condition for subideals of Lie algebras. Math. Z. 111 (1969) 301-310.
Article |  MR 251093 |  Zbl 0179.33203
[25] I.N. Stewart: An algebraic treatment of Mal'cev's theorems concerning nilpotent Lie groups and their Lie algebras. Compositio Math. 22 (1970) 289-312.
Numdam |  MR 288158 |  Zbl 0204.35903
[26] I.N. Stewart: Structure theorems for a class of locally finite Lie algebras. Proc. London Math. Soc (3) 24 (1972) 79-100.  MR 289592 |  Zbl 0225.17005
[27] I.N. Stewart: Levi factors of infinite-dimensional Lie algebras. J. London Math. Soc. (2) 5 (1972) 488.  MR 323851 |  Zbl 0249.17013
[28] I.N. Stewart : Author-abstract of [26]. Zbl. 225 (1972) 109.  Zbl 0225.17005
[29] I.N. Stewart: Chevalley-Jordan decomposition for a class of locally finite Lie algebras (to appear).
Numdam |  Zbl 0351.17013
[30] I.N. Stewart: Cartan subalgebras of certain locally finite Lie algebras (to appear).
[31] I.N. Stewart: The Wedderburn-Mal'cev theorems in a locally finite setting (to appear).  Zbl 0326.16020
[32] E.L. Stitzinger: Theorems on Cartan subalgebras like some on Carter subgroups. Trans. Amer. Math. Soc. 159 (1971) 307-315.  MR 280556 |  Zbl 0238.17009
[33] S.E. Stonehewer: Abnormal subgroups of a class of periodic locally soluble groups. Proc. London Math. Soc. (3) 14 (1964) 520-536.  MR 165012 |  Zbl 0123.24902
[34] S.E. Stonehewer: Locally soluble FC-groups. Arch. der Math. 16 (1965) 158-177.  MR 179263 |  Zbl 0135.04803
[35] S.E. Stonehewer: Formations and a class of locally soluble groups. Proc. Cambridge Philos. Soc. 62 (1966) 613-635.  MR 204529 |  Zbl 0145.02503
[36] M.J. Tomkinson: Formations of locally soluble FC-groups. Proc. London Math. Soc. (3) 19 (1969) 675-708.  MR 260881 |  Zbl 0179.32302
[37] D.A. Towers: A Frattini theory for algebras. Proc. London Math. Soc. (3) 27 (1973) 440-462.  MR 427393 |  Zbl 0267.17004
[38] W. Tuck: Frattini theory for Lie algebras. Ph.D. thesis, University of Sydney 1969.
[39] B.A.F. Wehrfritz: Soluble periodic linear groups. Proc. London Math. Soc. (3) 18 (1968) 141-157.  MR 220842 |  Zbl 0157.06002
[40] D.J. Winter: Abstract Lie algebras. M.I.T. Press, Cambridge Massachusetts 1972.  MR 332905 |  Zbl 0248.17003
Copyright Cellule MathDoc 2014 | Crédit | Plan du site