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:
Online Access:https://doi.org/10.3785/j.issn.1008-9497.2009.06.002
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author LIHeng-rong(李恒荣)
LIUWei-jun(刘伟俊)
author_facet LIHeng-rong(李恒荣)
LIUWei-jun(刘伟俊)
author_sort LIHeng-rong(李恒荣)
collection DOAJ
description 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).
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series Zhejiang Daxue xuebao. Lixue ban
spelling doaj.art-fd941e974e4a4732ad4de76df8953d1e2024-03-29T01:58:27ZzhoZhejiang University PressZhejiang Daxue xuebao. Lixue ban1008-94972009-11-0136661361510.3785/j.issn.1008-9497.2009.06.002Soluble 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)LIHeng-rong(李恒荣)0LIUWei-jun(刘伟俊)Department of Mathematics, Central South University, Changs ha 410075, China(中南大学数学科学与计算技术学院,湖南 长沙 410075)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).https://doi.org/10.3785/j.issn.1008-9497.2009.06.002设计本原因子区传递自同构可解群
spellingShingle LIHeng-rong(李恒荣)
LIUWei-jun(刘伟俊)
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)
Zhejiang Daxue xuebao. Lixue ban
设计
本原因子
区传递
自同构
可解群
title 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)
title_full 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)
title_fullStr 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)
title_full_unstemmed 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)
title_short 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)
title_sort 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
topic 设计
本原因子
区传递
自同构
可解群
url https://doi.org/10.3785/j.issn.1008-9497.2009.06.002
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