Projective linear groups acts block-transitively on 5-(q+1, 7, λ) designs(射影线性群区传递作用于5-(q + 1,7,λ)设计)
设D是一个t-(v,k,λ)设计,G是D的一个自同构群,CAMERON等证明了如果G是区传递的,则t≤7并且G在点集合上是[t/2]-传递的.对t≤4,已有研究取得了一些研究成果.本文主要讨论t=5时的情形,并且假定G是特殊射影线性群PSL(2,q)3-齐次作用在5-(v,7,λ)设计上,此时v=q+1,利用这2个群在射影线上作用的轨道,讨论了5-(v,7,λ)设计的存在性,并构造出了具有给定参数的单纯5-(v,7,λ)设计....
Main Authors: | YANGGuan(杨冠), LIUWei-Jun(刘伟俊) |
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Format: | Article |
Language: | zho |
Published: |
Zhejiang University Press
2013-09-01
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Series: | Zhejiang Daxue xuebao. Lixue ban |
Subjects: | |
Online Access: | https://doi.org/10.3785/j.issn.1008-9497.2013.05.001 |
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