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2 D n (3)(9≤n=2m+1 not a prime) can be characterized by its order components

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Abstract

In this paper we prove that ifG is a finite group,2 D n (3)(9≤n=2m+1 not a prime),G andM have the same order components, thenG ≈= M.

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References

  1. Guiyun Chen,On Thompson's Conjecture, J. Algebra,15 1996 184–193.

    Google Scholar 

  2. Guiyun Chen,A New Characterization of Sporadic Groups, Algebra Colloq3(1) (1996), 49–58.

    MATH  MathSciNet  Google Scholar 

  3. Guiyun Chen,A New Characterization of Suzuki-Ree Groups, Sci. in China(ser. A)27(5) (1997), 430–433.

    Google Scholar 

  4. Guiyun Chen,A New Characterization of G 2 (q), J. Southwest China Normal Univ.26(5) (2001), 503–509.

    Google Scholar 

  5. Guiyun Chen,A New Characterization of E 8 (q), J. Southwest China Normal Uni.21(3) (1995), 215–217.

    Google Scholar 

  6. Guiyun Chen,A New Characterization of PSL 2 (q), Southeast Asian Bulletin of Math.,22 (1998), 257–263.

    MATH  Google Scholar 

  7. Guiyun Chen,Characterization of 3 D 4 (q), Southeast Asian Bulletin of Math25 (2001) 389–401.

    Article  MATH  Google Scholar 

  8. Guiyun Chen,On Frobenius and 2-Frobenius Group, J. Southwest China Normal Uni.20(5) (1995), 485–487.

    Google Scholar 

  9. Guiyun Chen and Huaguo Shi,On Hall Factors of Several Special Integral Expressions, to appear.

  10. A. Iranmanesh and S. H. Alavi,A Characterization of A p where p and p−2 are primes, J. Appl. Math. & Computing (old: KJCAM)8(3) (2001), 665–673.

    MATH  MathSciNet  Google Scholar 

  11. A. Iranmanesh and S. H. Alavi,A Characterization of Simple Groups PSL (5, q), Bull. Austral. Math. Soc.65 (2002), 211–222.

    Article  MATH  MathSciNet  Google Scholar 

  12. A. Iranmanesh, S. H. Alavi and B. Khosravi,A Characterization of PSL (3, q) where q is an odd prime power, J. Pure and Applied Algebra170(2–3) (2002), 243–254.

    Article  MATH  MathSciNet  Google Scholar 

  13. A. Iranmanesh, S. H. Alavi and B. Khosravi,A Characterization of PSL(3,q)for q = 2n, Acta. Math. Sinica, English series18(3) (2002), 463–472.

    Article  MATH  MathSciNet  Google Scholar 

  14. A. Iranmanesh and B. Khosravi,A Characterization of F 4 (q) where q is even, Far East J. Math. Sci. (FJMS)2(6) (2000), 853–859.

    MATH  MathSciNet  Google Scholar 

  15. A. Iranmanesh and B. Khosravi,A Characterization of C 2 (q) where q>5, Comment. Math. Univ. Carolinae43(1), (2002), 9–21.

    MATH  MathSciNet  Google Scholar 

  16. A. Iranmanesh and B. Khosravi,A Characterization of PSU 5 (q), International Mathematical Journal3(2) (2003), 129–141.

    MathSciNet  MATH  Google Scholar 

  17. A. Iranmanesh, B. Khosravi and S. H. Alavi,A Characterization of PSU (3, q) for q>5, Southeast Asian Bulletin Math.26(2) (2002), 33–44.

    MATH  MathSciNet  Google Scholar 

  18. B. Khosravi,A Characterization of 2 D 4 (q), Pure Math. Appl,12(4) (2001), 415–424.

    MathSciNet  Google Scholar 

  19. Behrooz Khosravi and Bahman Khosravi,A Characterization of 2E6 (q), Kumamoto J. Math.16 (2003), 1–11.

    MATH  MathSciNet  Google Scholar 

  20. Behrooz Khosravi and Bahman Khosravi,A Characterization of E 6 (q), Algebras Groups and Geometries19(2) (2002), 225–243.

    MathSciNet  MATH  Google Scholar 

  21. P. Crescenzo,A Diophantine Equation Which Arises in the Theory Finite Groups, Advances in Math.17 (1975), 25–29.

    Article  MATH  MathSciNet  Google Scholar 

  22. J. S. Williams,Prime Graph Components of Finite Group, J. Algebra69 (1981), 487–513.

    Article  MATH  MathSciNet  Google Scholar 

  23. K. Zsigmondy,Zur Theories der Potenzreste, Monatsh Math. Phys.3 (1892), 265–284.

    Article  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. School of Mathematics and Finance, Southwest China Normal University, 400715, Chongqing, P. R. China

    Guiyun Chen & Huaguo Shi

Authors
  1. Guiyun Chen
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  2. Huaguo Shi
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Correspondence to Guiyun Chen.

Additional information

This work is supported by NSFC, Excellant Teachers Supporting Project and Keystone Project of Minstry of Education of China

Guiyun Chen received his BS and MS from Southwest China Normal University and Ph.D at Sichuan University under the direction of Zhongmu Chen, post-doctor at Bar-Ilan University under the direction of Zvi Arad. Since 1983, he has been at Southwest China Normal University and received the title professor in 1996. His research interests focus on structure theory of finite group and table algebra.

Huaguo Shi received his BS from Southwest China Normal University, now is a graduate student under the direction of Guiyun Chen at South west China Normal University. His research interests focus on structure theory of finite group.

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Chen, G., Shi, H. 2 D n (3)(9≤n=2m+1 not a prime) can be characterized by its order components. JAMC 19, 353–362 (2005). https://doi.org/10.1007/BF02935810

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  • DOI: https://doi.org/10.1007/BF02935810

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