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A characteristic property for each finite projective special linear group

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References

  1. M. Aschbacher and G.M. Seitz, ‘Involutions in Chevalley groups over finite fields of even order’, Nagoya Math. J. 63 (1976), 1–91.

    Article  MathSciNet  MATH  Google Scholar 

  2. J.H. Conway et al., Atlas of finite groups (Clarendon Press, Oxford, 1985).

    Google Scholar 

  3. P. Crescenzo, ‘A diophantine equation which arises in the theory of finite groups’, Adv. Math. 17 (1975), 25–29.

    Article  MathSciNet  MATH  Google Scholar 

  4. U. Dempwolff and S.K. Wong, ‘On finite groups whose centalizer of an involution has normal extra special and abelian subgroups, I’, J. Algebra 45 (1977), 247–253.

    Article  MathSciNet  MATH  Google Scholar 

  5. W. Feit and G.M. Seitz, ‘On finite rational groups and related topics’ (manuscript).

    Google Scholar 

  6. B. Huppert and N. Blackburn, Finite groups III (Springer-Verlag, Berlin Heidelberg New York, 1982).

    Book  MATH  Google Scholar 

  7. D.S. Passman, Permutation groups (Benjamin, New York, 1968).

    MATH  Google Scholar 

  8. Shi Wujie, ‘A new characterization of the sporadic simple groups’, in Group Theory, Proceedings of the Singapore Group Theory Conference held at the National University of Singapore, 1987; ed. by Kai Nah Cheng and Yu Kiang Leong, pp. 531–540 (de Gruyter, Berlin New York, 1989).

    Google Scholar 

  9. Shi Wujie, ‘A new characterization of some simple groups of Lie type’, Contemporary Math. 82 (1989), 171–180.

    Article  MathSciNet  MATH  Google Scholar 

  10. Shi Wujie and Bi Jianxing, ‘A new characterization of the alternating groups’, Southeast Asian Bull. Math. (to appear).

    Google Scholar 

  11. Shi Wujie, ‘A characterization of some projective special linear groups’, J. of Math. (PRC) 5 (1985), 191–200.

    MathSciNet  MATH  Google Scholar 

  12. J.G. Thompson, A letter to Shi Wujie.

    Google Scholar 

  13. J.S. Williams, ‘Prime graph components of finite groups’, J. Algebra 69 (1981), 487–513.

    Article  MathSciNet  MATH  Google Scholar 

  14. K. Zsigmondy, ‘Zur Theorie der Potenzreste’, Monatsh. Math. Phys. 3 (1892), 265–284.

    Article  MathSciNet  Google Scholar 

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L. G. Kovács

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© 1990 Springer-Verlag

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Wujie, S., Jianxing, B. (1990). A characteristic property for each finite projective special linear group. In: Kovács, L.G. (eds) Groups—Canberra 1989. Lecture Notes in Mathematics, vol 1456. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0100738

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  • DOI: https://doi.org/10.1007/BFb0100738

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-53475-4

  • Online ISBN: 978-3-540-46900-1

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