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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
[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
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