Suzuki群与Steiner 4设计
Suzuki군여Steiner 4설계
THE SUZUKI GROUP AND STEINER 4-DESIGNS
  • 万方数据
    数学杂志 수학잡지
    JOURNAL OF MATHEMATICS
    2010年 3期 561-566 ,共6页

    廖小莲%李上钊%陈国华

    료소련%리상쇠%진국화

    设计%旗传递%自同构群%基柱 設計%旂傳遞%自同構群%基柱
    설계%기전체%자동구군%기주
    design%fag-transitive%automorphism group%socle
    本文研究了非平凡Steiner 4设计的自同构群是旗传递的情形.利用有限2传递置换群的分类,得到了旗传递非平凡Steiner 4设计的自同构群的基柱不是Suzuki群.
    본문연구료비평범Steiner 4설계적자동구군시기전체적정형.이용유한2전체치환군적분류,득도료기전체비평범Steiner 4설계적자동구군적기주불시Suzuki군.
    This article studies the case that the flag-transitive non-trivial Steiner 4-designs' automorphism groups is an almost simple type group. By using the classification of the finite doubly transitive permutation groups, we obtain the socle of the automorphism groups is not Suzuki group.
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