发布求助
文献互助 智能选刊 最新文献

A note on 𝑑-maximal 𝑝-groups

Pub Date : 2023-07-04 DOI:10.1515/jgth-2022-0071
Messab Aiech, H. Zekraoui, Y. Guerboussa
{"title":"A note on 𝑑-maximal 𝑝-groups","authors":"Messab Aiech, H. Zekraoui, Y. Guerboussa","doi":"10.1515/jgth-2022-0071","DOIUrl":null,"url":null,"abstract":"Abstract A finite 𝑝-group 𝐺 is said to be 𝑑-maximal if d ⁢ ( H ) < d ⁢ ( G ) d(H)<d(G) for every subgroup H < G H<G , where d ⁢ ( G ) d(G) denotes the minimal number of generators of 𝐺. A similar definition can be formulated when 𝐺 is acted on by some group 𝐴. In this paper, we extend earlier results of Kahn and Laffey to this more general setting and we answer a question of Berkovich on minimal non-metacyclic 𝑝-groups.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-07-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1515/jgth-2022-0071","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0

Abstract

Abstract A finite 𝑝-group 𝐺 is said to be 𝑑-maximal if d ⁢ ( H ) < d ⁢ ( G ) d(H)
分享
查看原文
关于𝑑-maximal𝑝-groups的说明
摘要对于每一子群H
本文章由计算机程序翻译，如有差异，请以英文原文为准。
求助全文
约1分钟内获得全文 求助全文
×
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
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
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 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信