Journal of applied mathematics & informatics

  • 제5권2호
  • /
  • Pages.393-402
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  • 1998
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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

THE NON-ABELIAN SIMPLE GROUPS G,｜G｜＜$10^6$ MINIMAL C-GENERATOR PAIRS, SYMMETRIC PRESENTATIONS

  • Jamail, A. (Institute of mathematics University for Teacher Education)
  • 발행 : 1998.06.01

⟨ 이전 논문 다음 논문 ⟩

초록

In this paper we describe the results of computations to find symmetric presentations based on minimal conjugate generating pairs for the 32 non-abelian simple groups of order less than one million.

키워드

참고문헌

  1. Contemp. Math v.33 Two-generator groups Ⅲ J.L.Brenner;R.M.Guralnick;James Wiegold
  2. Discrete Math v.5 Construction of Defining Relators for Finite Groups J.J.Cannon
  3. Cayley, Computational Group Thoery An Introduction to the Group Theory Language J.J.Cannon
  4. Atlas of Finite Groups: Maximal Subgroups and Ordinary Characters for Simple Groups J.H.Conway;R.T.Curtis;S.P.Norton;R.A.Parker;R.A.Wilson
  5. Cayley Bulletin SIMGPS. TLB, A library of simple groups: Permutations, presentations, conjugacy classes, maximal subgroups and Sylow subgroups A.Jamali;E.F.Robertson;C.M.Campbell
  6. Math. Comp. v.33 The Non-abelian Simple Groups G,ⅠGⅠ<10^6 Minimal Generating Pairs J.McKay;K.C.Young
  7. Group Theory Symmetric Presentations E.F.Robertson;C.M.Campbell