Classical simple groups and unolvable block-transitive 2 -(v,7,1)designs(典型单群与非可解区传递2-(v,7,1)设计)

主要研究区传递2-(v,k,1)设计的分类.特别地,考虑了非可解区传递2-(v,7,1)设计的分类,得到了如下结论:设G是一2- (v ,7,1)设计D的自同构群,若G区传递非可解且点本原,但非旗传递地作用在设计D上,则G≠PSLn(q),这里q为奇数且(n,q)≠(2,2) , (2,3)....

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Main Authors: GONGLuo-zhong(龚罗中), LIUWei-jun(刘伟俊), TANQiong-hua(谭琼华)
Format: Article
Language:zho
Published: Zhejiang University Press 2009-09-01
Series:Zhejiang Daxue xuebao. Lixue ban
Subjects:
Online Access:https://doi.org/10.3785/j.issn.1008-9497.2009.05.001
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author GONGLuo-zhong(龚罗中)
LIUWei-jun(刘伟俊)
TANQiong-hua(谭琼华)
author_facet GONGLuo-zhong(龚罗中)
LIUWei-jun(刘伟俊)
TANQiong-hua(谭琼华)
author_sort GONGLuo-zhong(龚罗中)
collection DOAJ
description 主要研究区传递2-(v,k,1)设计的分类.特别地,考虑了非可解区传递2-(v,7,1)设计的分类,得到了如下结论:设G是一2- (v ,7,1)设计D的自同构群,若G区传递非可解且点本原,但非旗传递地作用在设计D上,则G≠PSLn(q),这里q为奇数且(n,q)≠(2,2) , (2,3).
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series Zhejiang Daxue xuebao. Lixue ban
spelling doaj.art-29fc7178aee143778c4a3a27b142c7ae2024-03-29T01:58:27ZzhoZhejiang University PressZhejiang Daxue xuebao. Lixue ban1008-94972009-09-0136548749210.3785/j.issn.1008-9497.2009.05.001Classical simple groups and unolvable block-transitive 2 -(v,7,1)designs(典型单群与非可解区传递2-(v,7,1)设计)GONGLuo-zhong(龚罗中)0LIUWei-jun(刘伟俊)1TANQiong-hua(谭琼华)2 1.School of Mathematical Sciences and Computing Technology, Central South University, Changs ha 410075, China( 1.中南大学数学科学与计算技术学院,湖南 长沙 410075) 1.School of Mathematical Sciences and Computing Technology, Central South University, Changs ha 410075, China( 1.中南大学数学科学与计算技术学院,湖南 长沙 410075) 1.School of Mathematical Sciences and Computing Technology, Central South University, Changs ha 410075, China( 1.中南大学数学科学与计算技术学院,湖南 长沙 410075)主要研究区传递2-(v,k,1)设计的分类.特别地,考虑了非可解区传递2-(v,7,1)设计的分类,得到了如下结论:设G是一2- (v ,7,1)设计D的自同构群,若G区传递非可解且点本原,但非旗传递地作用在设计D上,则G≠PSLn(q),这里q为奇数且(n,q)≠(2,2) , (2,3).https://doi.org/10.3785/j.issn.1008-9497.2009.05.001区组设计自同构群非可解区传递典型单群
spellingShingle GONGLuo-zhong(龚罗中)
LIUWei-jun(刘伟俊)
TANQiong-hua(谭琼华)
Classical simple groups and unolvable block-transitive 2 -(v,7,1)designs(典型单群与非可解区传递2-(v,7,1)设计)
Zhejiang Daxue xuebao. Lixue ban
区组设计
自同构群
非可解区传递
典型单群
title Classical simple groups and unolvable block-transitive 2 -(v,7,1)designs(典型单群与非可解区传递2-(v,7,1)设计)
title_full Classical simple groups and unolvable block-transitive 2 -(v,7,1)designs(典型单群与非可解区传递2-(v,7,1)设计)
title_fullStr Classical simple groups and unolvable block-transitive 2 -(v,7,1)designs(典型单群与非可解区传递2-(v,7,1)设计)
title_full_unstemmed Classical simple groups and unolvable block-transitive 2 -(v,7,1)designs(典型单群与非可解区传递2-(v,7,1)设计)
title_short Classical simple groups and unolvable block-transitive 2 -(v,7,1)designs(典型单群与非可解区传递2-(v,7,1)设计)
title_sort classical simple groups and unolvable block transitive 2 v 7 1 designs 典型单群与非可解区传递2 v 7 1 设计
topic 区组设计
自同构群
非可解区传递
典型单群
url https://doi.org/10.3785/j.issn.1008-9497.2009.05.001
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