Journal of applied mathematics & informatics

  • 제8권3호
  • /
  • Pages.889-897
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  • 2001
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  • 2734-1194(pISSN)
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  • 2234-8417(eISSN)
한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
권호 표지

A NEW CHARACTERIZATION OF $A_p$ WHERE p AND p-2 ARE PRIMES

  • Iranmanesh, A. (Department of mathematics, Tarbiat Modarres University) ;
  • Alavi, S.H. (Department of Mathematics, Tarbiat Modarres University)
  • 발행 : 2001.09.01

⟨ 이전 논문 다음 논문 ⟩

초록

Based on the prime graph of a finite simple group, its order is the product of its order components (see[4]). It is known that Suzuki-Ree groups [6], $PSL_2(q)$ [8] and $E_8(q)$ [7] are uniquely deternubed by their order components. In this paper we prove that the simple groups $A_p$ are also unipuely determined by their order components, where p and p-2 are primes.

키워드

참고문헌

  1. J. Southwest China Normal Univ. v.20 no.5 On Frobenius and 2-Frobenius group G.Y.Chen
  2. Proc. of 2nd Ann. Meeting of Youth of Chin. Sci. and Tech. Assoc. Press of Xinan Jiaotong Univ. A new characterization of simple group of Lie type ²G₂(q) G.Y.Chen
  3. J. Southwest China Normal Univ. A new characterization of G₂(q), [q≡0(mod3)] G.Y.Chen
  4. Algebra Colloq v.3 no.1 A new characterization of sporadic simple groups G.Y.Chen
  5. J. Algebra v.15 On Thompson's Conjecture G.Y.Chen
  6. Sci. in China(ser A) v.27 no.5 A new characterization of Suzuki-Ree groups G.Y.Chen
  7. J. Southwest China Normal Univ. v.21 no.3 A new characterization of $E_8$(q) G.Y.Chen
  8. Southeast Asian Bulletin of Math v.22 A new characterization of PSL₂(q) G.Y.Chen
  9. Math. USSR-sb. v.67 no.1 Prime graph components of finite groups A.S.Kondtratev
  10. Group Theory Proceeding of the Singapore Group Theory Conference held at the National University of Singapore A new characterization of the sporadic simple groups W.Shi
  11. Contemporary Math v.82 A new characterization of some simple groups of Lie type W.Shi;Bi Jianxing
  12. J. Algebra v.69 Prime graph components of finite groups J.S.Williams
  13. Lecture notes in Mathematics v.1456 A characteristic property for each finite projective special linear group W.Shi;Bi Jianxing
  14. Southeast Asian Bull. Math. v.16 no.1 A new characterization of the alternating groups W.Shi;Bi Jianxing