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Computing the test rank of a free solvable Lie algebra

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We computed the test rank of a free solvable Lie algebra of finite rank.

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References

  1. Timoshenko E. I., “Test elements and test rank of a free metabelian group,” Siberian Math. J., 41, No. 6, 1200–1204 (2000).

    Article  MathSciNet  Google Scholar 

  2. Chirkov I. V. and Shevelin M. A., “Test sets in free metabelian Lie algebras,” Siberian Math. J., 43, No. 6, 1135–1140 (2002).

    Article  MathSciNet  Google Scholar 

  3. Esmerligil Z. and Ekici N., “Test sets and test rank of a free metabelian Lie algebra,” Comm. Algebra, 31, No. 11, 5581–5589 (2003).

    Article  MATH  MathSciNet  Google Scholar 

  4. Esmerligil Z., “Test elements of a free color metabelian Lie superalgebra of rank two,” J. Inst. Math. Comput. Sci. Math. Ser., 17, No. 1, 25–29 (2004).

    MATH  MathSciNet  Google Scholar 

  5. Gupta Ch. K. and Timoshenko E. I., “Test rank for some free polynilpotent groups,” Algebra and Logic, 42, No. 1, 20–28 (2003).

    Article  MathSciNet  Google Scholar 

  6. Esmerligil Z., Kahyalar D., and Ekici N., “Test rank of F/R’ Lie algebras,” Internat. J. Algebra Comput., 16, No. 4, 817–825 (2006).

    Article  MATH  MathSciNet  Google Scholar 

  7. The Kourovka Notebook. Unsolved Problems in Group Theory. Vol. 15, Inst. Math. (Novosibirsk), Novosibirsk (2002).

  8. Timoshenko E. I., “Computing test rank for a free solvable group,” Algebra and Logic, 45, No. 4, 254–260 (2006).

    Article  MathSciNet  Google Scholar 

  9. Bokut’ L. A., “A base of free polynilpotent Lee algebras,” Algebra i Logika, 2, No. 4, 13–20 (1963).

    MathSciNet  Google Scholar 

  10. Kharlampovich O. G., “The Lyndon condition for solvable Lie algebras,” Izv. Vyssh. Uchebn. Zaved. Mat., No. 9, 50–59 (1984).

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Correspondence to E. I. Timoshenko.

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Original Russian Text Copyright © 2008 Timoshenko E. I. and Shevelin M. A.

The first author was supported by the Russian Foundation for Basic Research (Grant 05.01.00292).

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Novosibirsk; Omsk. Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 49, No. 6, pp. 1420–1426, November–December, 2008.

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Timoshenko, E.I., Shevelin, M.A. Computing the test rank of a free solvable Lie algebra. Sib Math J 49, 1131–1135 (2008). https://doi.org/10.1007/s11202-008-0109-6

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  • DOI: https://doi.org/10.1007/s11202-008-0109-6

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