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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Format: | Article |
Language: | zho |
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Zhejiang University Press
2009-09-01
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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). |
first_indexed | 2024-04-24T16:58:41Z |
format | Article |
id | doaj.art-29fc7178aee143778c4a3a27b142c7ae |
institution | Directory Open Access Journal |
issn | 1008-9497 |
language | zho |
last_indexed | 2024-04-24T16:58:41Z |
publishDate | 2009-09-01 |
publisher | Zhejiang University Press |
record_format | Article |
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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