对称2-(11,5,2)设计的全自同构群  

Automorphism Group of 2-(11,5,2)Symmetric Design

作　　者：董磊 DONG Lei(Shanxi College Of Applied Science And Technology,Taiyuan 030062,China)

机构地区：[1]山西应用科技学院,山西太原030032

出　　处：《通化师范学院学报》2022年第8期28-31,共4页Journal of Tonghua Normal University

摘　　要：设D为对称2-(11,5,2)设计,其全自同构群用Aut(D)表示.该文研究了Aut(D)中阶为素数的自同构,并获得了有关这些自同构的不动点数量的一些结果.证明了|Aut(D)|=2^(α)3^(β)5^(γ)11^(δ),其中,α,β,γ和δ是非负整数,β≤2以及γ≤1,δ≤1,给出了全自同构群的阶以及素数阶自同构的不动点数量的结果.Let D be a symmetric 2-(11,5,2)design with the automorphism group of Aut(D).In this paper the order of automorphism of prime order of Aut(D)is studied,and some results are obtained about the number of fixed points of these automorphisms.Also we will show that Aut(D)=2^(α)3^(β)5^(γ)11^(δ),whereα,β,γandδare non-negative integers such thatβ≤2 andγ,δ≤1.In Section 3,according to these results,the main theorems of this paper are given,and the results of the order of fully automorphism group and the number of fixed points of prime order automorphism are summarized.

关 键 词：全自同构群 不动点 不动区组 对称设计 

分 类 号：O152.1[理学—数学]