关于𝑝-groups的弱交换性

IF 0.4 3区数学 Q4 MATHEMATICS

Journal of Group Theory Pub Date : 2023-06-15 DOI:10.1515/jgth-2022-0165

R. Bastos, E. de Melo, R. de Oliveira, C. Monetta

{"title":"关于𝑝-groups的弱交换性","authors":"R. Bastos, E. de Melo, R. de Oliveira, C. Monetta","doi":"10.1515/jgth-2022-0165","DOIUrl":null,"url":null,"abstract":"Abstract The weak commutativity group χ ⁢ ( G ) \\chi(G) is generated by two isomorphic groups 𝐺 and G φ G^{\\varphi} subject to the relations [ g , g φ ] = 1 [g,g^{\\varphi}]=1 for all g ∈ G g\\in G . We present new bounds for the exponent of χ ⁢ ( G ) \\chi(G) and its sections, when 𝐺 is a finite 𝑝-group.","PeriodicalId":50188,"journal":{"name":"Journal of Group Theory","volume":"22 1","pages":""},"PeriodicalIF":0.4000,"publicationDate":"2023-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On weak commutativity in 𝑝-groups\",\"authors\":\"R. Bastos, E. de Melo, R. de Oliveira, C. Monetta\",\"doi\":\"10.1515/jgth-2022-0165\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract The weak commutativity group χ ⁢ ( G ) \\\\chi(G) is generated by two isomorphic groups 𝐺 and G φ G^{\\\\varphi} subject to the relations [ g , g φ ] = 1 [g,g^{\\\\varphi}]=1 for all g ∈ G g\\\\in G . We present new bounds for the exponent of χ ⁢ ( G ) \\\\chi(G) and its sections, when 𝐺 is a finite 𝑝-group.\",\"PeriodicalId\":50188,\"journal\":{\"name\":\"Journal of Group Theory\",\"volume\":\"22 1\",\"pages\":\"\"},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2023-06-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Group Theory\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1515/jgth-2022-0165\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Group Theory","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1515/jgth-2022-0165","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 0

摘要

摘要对所有G∈G G \in G，由两个同构群𝐺和G φ G^ {\varphi}根据关系[G, G φ]=1 [G, G^ {\varphi}]=1生成弱交换群χ≠(G) \chi (G)。当𝐺是有限的𝑝-group时，我们给出了χ¹(G) \chi (G)的指数及其截面的新边界。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

On weak commutativity in 𝑝-groups

Abstract The weak commutativity group χ ⁢ ( G ) \chi(G) is generated by two isomorphic groups 𝐺 and G φ G^{\varphi} subject to the relations [ g , g φ ] = 1 [g,g^{\varphi}]=1 for all g ∈ G g\in G . We present new bounds for the exponent of χ ⁢ ( G ) \chi(G) and its sections, when 𝐺 is a finite 𝑝-group.

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

Journal of Group Theory 数学-数学

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

6 months

期刊介绍： The Journal of Group Theory is devoted to the publication of original research articles in all aspects of group theory. Articles concerning applications of group theory and articles from research areas which have a significant impact on group theory will also be considered. Topics: Group Theory- Representation Theory of Groups- Computational Aspects of Group Theory- Combinatorics and Graph Theory- Algebra and Number Theory