用序和一个不可约的字符度或字符度图识别Janko群和一些简单的$K_4$-群

Hoshang Behravesh, M. Ghaffarzadeh, M. Ghasemi, Somayeh Hekmatara
{"title":"用序和一个不可约的字符度或字符度图识别Janko群和一些简单的$K_4$-群","authors":"Hoshang Behravesh, M. Ghaffarzadeh, M. Ghasemi, Somayeh Hekmatara","doi":"10.22108/IJGT.2019.113029.1502","DOIUrl":null,"url":null,"abstract":"In this paper we prove that some Janko groups are uniquely determined by their orders and one irreducible character degree. Also we prove that some finite simple K4-groups are uniquely determined by their character degree graphs and their orders.","PeriodicalId":43007,"journal":{"name":"International Journal of Group Theory","volume":null,"pages":null},"PeriodicalIF":0.7000,"publicationDate":"2019-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Recognition of Janko groups and some simple $K_4$-groups by the order and one irreducible character degree or character degree graph\",\"authors\":\"Hoshang Behravesh, M. Ghaffarzadeh, M. Ghasemi, Somayeh Hekmatara\",\"doi\":\"10.22108/IJGT.2019.113029.1502\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we prove that some Janko groups are uniquely determined by their orders and one irreducible character degree. Also we prove that some finite simple K4-groups are uniquely determined by their character degree graphs and their orders.\",\"PeriodicalId\":43007,\"journal\":{\"name\":\"International Journal of Group Theory\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2019-06-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Group Theory\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.22108/IJGT.2019.113029.1502\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Group Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.22108/IJGT.2019.113029.1502","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0

摘要

本文证明了一些Janko群是由它们的阶数和一个不可约的特征度唯一决定的。并证明了一些有限简单k4群是由它们的特征度图及其阶唯一确定的。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
Recognition of Janko groups and some simple $K_4$-groups by the order and one irreducible character degree or character degree graph
In this paper we prove that some Janko groups are uniquely determined by their orders and one irreducible character degree. Also we prove that some finite simple K4-groups are uniquely determined by their character degree graphs and their orders.
求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
CiteScore
0.90
自引率
0.00%
发文量
1
审稿时长
30 weeks
期刊介绍: International Journal of Group Theory (IJGT) is an international mathematical journal founded in 2011. IJGT carries original research articles in the field of group theory, a branch of algebra. IJGT aims to reflect the latest developments in group theory and promote international academic exchanges.
期刊最新文献
Characterization of the Chevalley group $G_{2}(5)$ by the set of numbers of the same order elements Some results on the join graph of finite groups On the probability of zero divisor elements in group rings On Co-Maximal Subgroup Graph of $Z_n$ Infinite Locally Finite Simple Groups with Many Complemented Subgroups
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1