Some criteria for nilpotency in groups and Lie algebras
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- by Eugene Schenkman
- Proc. Amer. Math. Soc. 21 (1969), 714-718
- DOI: https://doi.org/10.1090/S0002-9939-1969-0241540-0
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References
- Norman Blackburn, Automorphisms of finite $p$-groups, J. Algebra 3 (1966), 28–29. MR 190238, DOI 10.1016/0021-8693(66)90017-2
- Chong-yun Chao, Some characterizations of nilpotent Lie algebras, Math. Z. 103 (1968), 40–42. MR 223415, DOI 10.1007/BF01111285
- Daniel Gorenstein, Finite groups, Harper & Row, Publishers, New York-London, 1968. MR 231903
- K. W. Gruenberg, The Engel elements of a soluble group, Illinois J. Math. 3 (1959), 151–168. MR 104730
- Nathan Jacobson, Lie algebras, Interscience Tracts in Pure and Applied Mathematics, No. 10, Interscience Publishers (a division of John Wiley & Sons, Inc.), New York-London, 1962. MR 143793
- Eugene Schenkman, Group theory, D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto, Ont.-London, 1965. MR 197537 —, Nilpotent automorphisms, Notices Amer. Math. Soc. 13 (1966), 501.
Bibliographic Information
- © Copyright 1969 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 21 (1969), 714-718
- MSC: Primary 20.40; Secondary 17.00
- DOI: https://doi.org/10.1090/S0002-9939-1969-0241540-0
- MathSciNet review: 0241540