@article{CM_1975__30_2_181_0, author = {Stewart, Ian}, title = {Conjugacy theorems for a class of locally finite {Lie} algebras}, journal = {Compositio Mathematica}, pages = {181--210}, publisher = {Noordhoff International Publishing}, volume = {30}, number = {2}, year = {1975}, mrnumber = {382377}, zbl = {0303.17006}, language = {en}, url = {http://www.numdam.org/item/CM_1975__30_2_181_0/} }
Stewart, Ian. Conjugacy theorems for a class of locally finite Lie algebras. Compositio Mathematica, Tome 30 (1975) no. 2, pp. 181-210. http://www.numdam.org/item/CM_1975__30_2_181_0/
[1] Infinite-dimensional Lie algebras. Noordhoff International, Leyden 1974. | MR | Zbl
and :[2] Descending chain conditions for Lie algebras of prime characteristic. J. Algebra (to appear). | MR | Zbl
and :[3] On the theory of soluble Lie algebras. Math. Z. 106 (1968) 343-354. | MR | Zbl
and :[4] Some theorems on saturated homomorphs of soluble Lie algebras. Math. Z. 115 (1970) 179-187. | MR | Zbl
and :[5] Linear algebraic groups. Ann. of Math. (2) 64 (1956) 20-82. | MR | Zbl
:[6] Linear algebraic groups. Benjamin, New York 1969. | MR | Zbl
:[7] Topologie Générale I. 3rd edition, Hermann, Paris 1961. | Zbl
:[8] General Topology part 1. Addison-Wesley, Reading Massachusetts 1966. | Zbl
:[9] Nilpotent self-normalizing subgroups of soluble groups. Math. Z. 75 (1961) 136-139. | MR | Zbl
:[10] Théorie des groupes de Lie, tome II: groupes algébriques. Hermann, Paris 1951. | MR | Zbl
:[11]
: Private communication, 1973.[12] Saturated formations and Sylow structure in locally finite groups. J. Algebra 17 (1971) 177-211. | MR | Zbl
, and :[13] Zur Theorie der endlichen auflösbaren Gruppen. Math. Z. 80 (1963) 300-305. | MR | Zbl
:[14] Éléments de Géometrie algébrique IV(1). Publ. Math. I.H.E.S. 20 (1964) 101-355. | Numdam | Zbl
:[15] Locally nilpotent ideals of a Lie algebra. Proc. Cambridge Philos. Soc. 63 (1967) 257-272. | MR | Zbl
:[16] Introduction to Lie algebras and representation theory, Graduate texts in mathematics 9. Springer, Berlin 1972. | MR | Zbl
:[17] Lie algebras, Interscience. New York 1962. | MR | Zbl
:[18] Fitting and formation theory in locally finite groups, Ph.D. thesis. University of Warwick 1973.
:[19] Formation theory in locally finite groups (to appear). | MR | Zbl
:[20] Sylow structure and basis normalizers in a class of locally finite groups (to appear). | MR | Zbl
:[21] Theory of groups vol. 2, translated by Chelsea, New York 1956. | MR
:[22] Groupes proalgébriques. Publ. Math. I.H.E.S. 7 (1960) 341-403. | Numdam | MR | Zbl
:[23] Two radicals of Lie algebras. Dokl. Akad. Nauk. SSSR 157 (1964) 281-283; Soviet Math. Doklady 5 (1964) 941-944. | MR | Zbl
:[24] The minimal condition for subideals of Lie algebras. Math. Z. 111 (1969) 301-310. | MR | Zbl
:[25] An algebraic treatment of Mal'cev's theorems concerning nilpotent Lie groups and their Lie algebras. Compositio Math. 22 (1970) 289-312. | Numdam | MR | Zbl
:[26] Structure theorems for a class of locally finite Lie algebras. Proc. London Math. Soc (3) 24 (1972) 79-100. | MR | Zbl
:[27] Levi factors of infinite-dimensional Lie algebras. J. London Math. Soc. (2) 5 (1972) 488. | MR | Zbl
:[28] 225 (1972) 109. | Zbl
: Author-abstract of [26]. Zbl.[29] Chevalley-Jordan decomposition for a class of locally finite Lie algebras (to appear). | Numdam | Zbl
:[30] Cartan subalgebras of certain locally finite Lie algebras (to appear).
:[31] The Wedderburn-Mal'cev theorems in a locally finite setting (to appear). | Zbl
:[32] Theorems on Cartan subalgebras like some on Carter subgroups. Trans. Amer. Math. Soc. 159 (1971) 307-315. | MR | Zbl
:[33] Abnormal subgroups of a class of periodic locally soluble groups. Proc. London Math. Soc. (3) 14 (1964) 520-536. | MR | Zbl
:[34] Locally soluble FC-groups. Arch. der Math. 16 (1965) 158-177. | MR | Zbl
:[35] Formations and a class of locally soluble groups. Proc. Cambridge Philos. Soc. 62 (1966) 613-635. | MR | Zbl
:[36] Formations of locally soluble FC-groups. Proc. London Math. Soc. (3) 19 (1969) 675-708. | MR | Zbl
:[37] A Frattini theory for algebras. Proc. London Math. Soc. (3) 27 (1973) 440-462. | MR | Zbl
:[38] Frattini theory for Lie algebras. Ph.D. thesis, University of Sydney 1969.
:[39] Soluble periodic linear groups. Proc. London Math. Soc. (3) 18 (1968) 141-157. | MR | Zbl
:[40] Abstract Lie algebras. M.I.T. Press, Cambridge Massachusetts 1972. | MR | Zbl
: