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Original Articles

On Lie Algebras with Many Nilpotent Subalgebras

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Pages 595-600 | Received 13 Jul 2004, Published online: 03 Sep 2006

REFERENCES

  • Gein , A. G. , Kuznecov , S. V. , Mukhin , J. ( 1972 ). Minimal non-nilpotent Lie algebras . Ural. Gos. Univ. Mat. Zap. 8 ( 3 ): 18 – 27 ( Russian ).
  • Newman , M. F. , Wiegold , J. ( 1964 ). Groups with many nilpotent subgroups . Arch. Math. 15 : 241 – 250 . [CROSSREF] [CSA]
  • Smith , H. , Wiegold , J. ( 1997 ). Groups which are isomorphic to their nonabelian subgroups . Rend Sem. Mat. Univ. Padova 97 : 7 – 16 . [CSA]
  • Stitzinger , E. L. , ( 1971 ). Minimal non-nilpotent solvable Lie algebras . Proc. Amer. Math. Soc. 28 : 47 – 49 . [CSA]
  • Towers , D. ( 1980 ). Lie algebras all of whose proper subalgebras are nilpotent . Linear Algebra Appl. 32 : 61 – 73 . [CROSSREF] [CSA]
  • Communicated by V. Artamonov.

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