Infinite-dimensional Lie algebras in the spirit of infinite group theory

I. N. Stewart

Compositio Mathematica (1970)

  • Volume: 22, Issue: 3, page 313-331
  • ISSN: 0010-437X

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Stewart, I. N.. "Infinite-dimensional Lie algebras in the spirit of infinite group theory." Compositio Mathematica 22.3 (1970): 313-331. <http://eudml.org/doc/89062>.

@article{Stewart1970,
author = {Stewart, I. N.},
journal = {Compositio Mathematica},
language = {eng},
number = {3},
pages = {313-331},
publisher = {Wolters-Noordhoff Publishing},
title = {Infinite-dimensional Lie algebras in the spirit of infinite group theory},
url = {http://eudml.org/doc/89062},
volume = {22},
year = {1970},
}

TY - JOUR
AU - Stewart, I. N.
TI - Infinite-dimensional Lie algebras in the spirit of infinite group theory
JO - Compositio Mathematica
PY - 1970
PB - Wolters-Noordhoff Publishing
VL - 22
IS - 3
SP - 313
EP - 331
LA - eng
UR - http://eudml.org/doc/89062
ER -

References

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  1. R. Baer [1] Nilgruppen, Math. Z.62 (1955) 402-437. Zbl0066.01301MR71424
  2. Chao Chong-Yun [2] Some characterisations of nilpotent Lie algebras, Math. Z.103 (1968) 40-42. Zbl0178.03603MR223415
  3. V M. Gluškov [3] On some questions in the theory of nilpotent and locally nilpotent torsion-free groups, Mat. Sbornik30 (952) 79-104 (Russian). Zbl0047.02403MR47651
  4. P. Hall [4] Some sufficient conditions for a group to be nilpotent, Illinois. J. Math.2 (1958) 787-801. Zbl0084.25602MR105441
  5. B. Hartley [5] Locally nilpotent ideals of a Lie algebra, Proc. Camb. Phil. Soc.63 (1967) 257-272. Zbl0147.28201MR213402
  6. H. Heineken AND I.J. Mohamed [6] A group with trivial centre satisfying the normalizer condition, J. Algebra10 (1968) 368-376. Zbl0167.29001MR235035
  7. N. Jacobson [7] Lie algebras, Interscience, New York, 1962. Zbl0121.27504MR143793
  8. A.G. Kuroš [8] Theory of groups vol. II, Chelsea, New York, 1956. Translated by K. A. Hirsch. Zbl0064.25104MR80089
  9. R.E. Phillips AND C.R. Combrink [9] A note on subsolvable groups, Math. Z.92 (1966) 349-352. Zbl0136.01301MR197567
  10. B.I. Plotkin [10] Generalised soluble and generalised nilpotent groups, Amer. Math. Soc. Translations ser.217 (1961) 29-116. Zbl0213.30103
  11. J.E. Roseblade [12] On groups in which every subgroup is subnormal, J. Algebra2 (1965) 402-412. Zbl0135.04901MR193147
  12. E. Schenkman [13] A theory of subinvariant Lie algebras, Amer. J. Math.73 (1951) 453-474. Zbl0054.01804MR42399
  13. A.G.R. Stewart [14] On the class of certain nilpotent groups, Proc. Roy. Soc. Ser. (A) 292 (1966) 374-379. Zbl0139.01705MR197573
  14. I.N. Stewart [15] The minimal condition for subideals of Lie algebras, Math. Z.111 (1969) 301-310. Zbl0179.33203MR251093

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