Soluble block-transitive automorphism groups of a class 2-(v, k, 1)designs(一类2-(v,k,1）设计的可解区传递自同构群)

Soluble block-transitive automorphism groups of a class 2-(v, k, 1)designs(一类2-(v,k,1）设计的可解区传递自同构群)

设G是一个2-(v,k,1）设计的可解区传递自同构群,且k≥3.若,则v =pn,其中p为素数.进一步,当n为两个不同奇素数幂的乘积时,G是旗传递的或者G≤AΓL(1,pn).

Bibliographic Details
Main Authors: LIHeng-rong(李恒荣), LIUWei-jun(刘伟俊)
Format: Article
Language:zho
Published: Zhejiang University Press 2009-11-01
Series:Zhejiang Daxue xuebao. Lixue ban
Subjects:
设计
本原因子
区传递
自同构
可解群
Online Access:https://doi.org/10.3785/j.issn.1008-9497.2009.06.002
Description
Summary:设G是一个2-(v,k,1）设计的可解区传递自同构群,且k≥3.若,则v =pn,其中p为素数.进一步,当n为两个不同奇素数幂的乘积时,G是旗传递的或者G≤AΓL(1,pn).
ISSN:1008-9497

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