$\mathrm上的结果{K}_1一般二次群的$

Q3 Mathematics

Communications in Mathematics Pub Date : 2022-07-27 DOI:10.46298/cm.9855

R. Basu, Kuntal Chakraborty

{"title":"$\\mathrm上的结果{K}_1一般二次群的$","authors":"R. Basu, Kuntal Chakraborty","doi":"10.46298/cm.9855","DOIUrl":null,"url":null,"abstract":"In the first part of this article we discuss the relative cases of\nQuillen-Suslin's local-global principle for the general quadratic (Bak's\nunitary) groups, and its applications for the (relative) stable and unstable\n$\\mathrm{K}_1$-groups. The second part is dedicated to the graded version of\nthe local-global principle for the general quadratic groups and its application\nto deduce a result for Bass' nil groups.","PeriodicalId":37836,"journal":{"name":"Communications in Mathematics","volume":" ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2022-07-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Results on $\\\\mathrm{K}_1$ of general quadratic groups\",\"authors\":\"R. Basu, Kuntal Chakraborty\",\"doi\":\"10.46298/cm.9855\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In the first part of this article we discuss the relative cases of\\nQuillen-Suslin's local-global principle for the general quadratic (Bak's\\nunitary) groups, and its applications for the (relative) stable and unstable\\n$\\\\mathrm{K}_1$-groups. The second part is dedicated to the graded version of\\nthe local-global principle for the general quadratic groups and its application\\nto deduce a result for Bass' nil groups.\",\"PeriodicalId\":37836,\"journal\":{\"name\":\"Communications in Mathematics\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-07-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Communications in Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.46298/cm.9855\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Communications in Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.46298/cm.9855","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Mathematics","Score":null,"Total":0}

引用次数: 0

摘要

本文第一部分讨论了一般二次(Bak’酉)群的quillen - suslin局部-全局原理的相关情况，以及它在(相对)稳定和不稳定的$\ mathm {K}_1$-群上的应用。第二部分是一般二次群的局部-全局原理的分级版本，并应用它来推导Bass零群的结果。

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

Results on $\mathrm{K}_1$ of general quadratic groups

In the first part of this article we discuss the relative cases of Quillen-Suslin's local-global principle for the general quadratic (Bak's unitary) groups, and its applications for the (relative) stable and unstable $\mathrm{K}_1$-groups. The second part is dedicated to the graded version of the local-global principle for the general quadratic groups and its application to deduce a result for Bass' nil groups.

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

Communications in Mathematics Mathematics-Mathematics (all)

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

45 weeks

期刊介绍： Communications in Mathematics publishes research and survey papers in all areas of pure and applied mathematics. To be acceptable for publication, the paper must be significant, original and correct. High quality review papers of interest to a wide range of scientists in mathematics and its applications are equally welcome.