On Lie rings satisfying the fourth Engel condition
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- by Mohan S. Putcha PDF
- Proc. Amer. Math. Soc. 28 (1971), 355-357 Request permission
Abstract:
In this paper we prove that a Lie ring of characteristic prime to 2, 3 and 5, satisfying the fourth Engel condition, is nilpotent.References
- Seymour Bachmuth, Horace Y. Mochizuki, and David Walkup, A nonsolvable group of exponent $5$, Bull. Amer. Math. Soc. 76 (1970), 638–640. MR 257209, DOI 10.1090/S0002-9904-1970-12469-7
- Marshall Hall Jr., The theory of groups, The Macmillan Company, New York, N.Y., 1959. MR 0103215
- P. J. Higgins, Lie rings satisfying the Engel condition, Proc. Cambridge Philos. Soc. 50 (1954), 8–15. MR 59890, DOI 10.1017/s0305004100029017 D. W. Walkup, Lie rings satisfying Engel conditions, Thesis, University of Wisconsin, Madison, Wis., 1963, 154 pp., University Microfilms, Ann Arbor, Michigan.
Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 28 (1971), 355-357
- MSC: Primary 17.30
- DOI: https://doi.org/10.1090/S0002-9939-1971-0276288-9
- MathSciNet review: 0276288