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Generating Sets of Involutions of Finite Simple Groups

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References

  1. Unsolved Problems in Group Theory, The Kourovka Notebook, No. 19, Institute of Mathematics SO RAN, Novosibirsk (2018); http://www.math.nsc.ru/∼alglog/19tkt.pdf.

  2. G. Malle, J. Saxl, and T. Weigel, “Generation of classical groups,” Geom. Ded., 49, No. 1, 85-116 (1994).

    Article  MathSciNet  Google Scholar 

  3. J. M. Ward, Generation of simple groups by conjugate involutions, PhD Thesis, Queen Mary College, Univ. London (2009).

  4. Ya. N. Nuzhin, “Generating triples of involutions for alternating groups,” Mat. Zametki, 51, No. 4, 91-95 (1992).

    Article  MathSciNet  Google Scholar 

  5. Ya. N. Nuzhin, “Generating triples of involutions for Chevalley groups over a finite field of characteristic 2,” Algebra and Logic, 29, No. 2, 134-143 (1990).

    Article  MathSciNet  Google Scholar 

  6. Ya. N. Nuzhin, “Generating triples of involutions for Lie-type groups over a finite field of odd characteristic. I,” Algebra and Logic, 36, No. 1, 46-59 (1997).

    Article  MathSciNet  Google Scholar 

  7. Ya. N. Nuzhin, “Generating triples of involutions for Lie-type groups over a finite field of odd characteristic. II,” Algebra and Logic, 36, No. 4, 245-256 (1997).

    Article  MathSciNet  Google Scholar 

  8. V. D. Mazurov, “On generation of sporadic simple groups by three involutions two of which commute,” Sib. Math. J., 44, No. 1, 160-164 (2003).

    Article  MathSciNet  Google Scholar 

  9. Ya. N. Nuzhin, “Generating triples of involutions of groups of Lie type of rank 2 over finite fields,” Algebra and Logic, 58, No. 1, 59-76 (2019).

    Article  MathSciNet  Google Scholar 

  10. J. H. Conway, R. T. Curtis, S. P. Norton, R. A. Parker, and R. A. Wilson, Atlas of Finite Groups, Clarendon Press, Oxford (1985).

  11. F. Lübeck and G. Malle, “(2, 3)-generation of exceptional groups,” J. London Math. Soc., II. Ser., 59, No. 1, 109-122 (1999).

  12. M. W. Liebeck and A. Shalev, “Classical groups, probabilistic methods, and the (2, 3)- generation problem,” Ann. Math. (2), 144, No. 1, 77-125 (1996).

    Article  MathSciNet  Google Scholar 

  13. M. A. Pellegrini, “The (2, 3)-generation of the special linear groups over finite fields,” Bull. Aust. Math. Soc., 95, No. 1, 48-53 (2017).

    Article  MathSciNet  Google Scholar 

  14. M. Vsemirnov, “On (2, 3)-generated groups,” Int. Conf. Group Theory in Honor of the 70th Birthday of Prof. V. D. Mazurov (July 16-20, 2013, Novosibirsk); http://math.nsc.ru/conference/groups2013/slides/MaximVsemirnov_slides.pdf.

  15. M. A. Pellegrini, M. Prandelli, and M. C. Tamburini Bellani, “The (2, 3)-generation of the special unitary groups of dimension 6,” J. Alg. Appl., 15, No. 9 (2016), Article ID 1650171.

    Article  MathSciNet  Google Scholar 

  16. A. V. Timofeenko, “On generating triples of involutions of large sporadic groups,” Diskr. Mat., 15, No. 2, 103-112 (2003).

  17. L. L. Scott, “Matrices and cohomology,” Ann. Math. (2), 105, 473-492 (1977).

    Article  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Siberian Federal University, pr. Svobodnyi 79, Krasnoyarsk, 660041, Russia

    Ya. N. Nuzhin

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  1. Ya. N. Nuzhin
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Correspondence to Ya. N. Nuzhin.

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Translated from Algebra i Logika, Vol. 58, No. 3, pp. 426-434, May-June, 2019.

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Nuzhin, Y.N. Generating Sets of Involutions of Finite Simple Groups. Algebra Logic 58, 288–293 (2019). https://doi.org/10.1007/s10469-019-09547-x

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