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Recognizing L 3(4) by the Set of Element Orders in the Class of All Groups

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Algebra and Logic Aims and scope

A finite simple group L3(4) is characterized up to isomorphism by its set of element orders in the class of all groups.

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References

  1. D. V. Lytkina and V. D. Mazurov, “Groups with given element orders,” Zh. SFU, Mat., Fiz., 7, No. 2, 191-203 (2014).

    Google Scholar 

  2. A. Kh. Zhurtov and V. D. Mazurov, “On recognition of the finite simple groups L 2(2m) in the class of all groups,” Sib. Math. J., 40, No. 1, 62-64 (1999).

    Article  MathSciNet  Google Scholar 

  3. D. V. Lytkina and A. A. Kuznetsov, “Recognizability by spectrum of the group L 2(7) in the class of all groups,” Sib. El. Mat. Izv., 4, 136-140 (2007).

    MATH  MathSciNet  Google Scholar 

  4. E. Jabara, D. Lytkina, and A. Mamontov, “Recognizing M 10 by spectrum in the class of all groups,” Int. J. Alg. Comput., 24, No. 2, 113-119 (2014).

    Article  MATH  MathSciNet  Google Scholar 

  5. W. Shi, “A characterization of some projective special linear groups,” J. Math. Wuhan Univ., 5, 191-200 (1985).

    MATH  Google Scholar 

  6. The GAP Group, GAP—Groups, Algorithms, Programming—a System for Computational Discrete Algebra, vers. 4.7.8 (2015); http://www.gap-system.org.

  7. V. P. Shunkov, “On periodic groups with an almost regular involution,” Algebra and Logic, 11, No. 4, 260-272 (1972).

    Article  MathSciNet  Google Scholar 

  8. V. P. Shunkov, “A class of p-groups,” Algebra and Logic, 9, No. 4, 291-297 (1970).

    Article  Google Scholar 

  9. V. P. Shunkov, Mp-Groups [in Russian], Nauka, Moscow (1990).

    Google Scholar 

  10. V. D. Mazurov, “Groups of exponent 60 with prescribed orders of elements,” Algebra and Logic, 39, No. 3, 189-198 (2000).

    Article  MathSciNet  Google Scholar 

  11. A. Kh. Zhurtov and V. D. Mazurov, “Local finiteness of some groups with prescribed orders of elements,” Vladikavkaz Mat. Zh., 11, No. 4, 11-15 (2009).

    MathSciNet  Google Scholar 

  12. M. I. Kargapolov and Yu. I. Merzlyakov, Fundamentals of Group Theory [in Russian], 4th edn., Nauka, Fizmatlit, Moscow (1996).

    Google Scholar 

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Correspondence to A. S. Mamontov.

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∗The work is supported by Russian Science Foundation (project 14-21-00065).

Translated from Algebra i Logika, Vol. 54, No. 4, pp. 439-443, July-August, 2015.

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Mamontov, A.S., Jabara, E. Recognizing L 3(4) by the Set of Element Orders in the Class of All Groups. Algebra Logic 54, 279–282 (2015). https://doi.org/10.1007/s10469-015-9348-3

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  • DOI: https://doi.org/10.1007/s10469-015-9348-3

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