不可被p整除的度字符的值域

IF 2.8 1区数学 Q1 MATHEMATICS

Forum of Mathematics Pi Pub Date : 2021-02-15 DOI:10.1017/fmp.2021.1

G. Navarro, P. Tiep

{"title":"不可被p整除的度字符的值域","authors":"G. Navarro, P. Tiep","doi":"10.1017/fmp.2021.1","DOIUrl":null,"url":null,"abstract":"Abstract We study the fields of values of the irreducible characters of a finite group of degree not divisible by a prime p. In the case where $p=2$, we fully characterise these fields. In order to accomplish this, we generalise the main result of [ILNT] to higher irrationalities. We do the same for odd primes, except that in this case the analogous results hold modulo a simple-to-state conjecture on the character values of quasi-simple groups.","PeriodicalId":56024,"journal":{"name":"Forum of Mathematics Pi","volume":" ","pages":""},"PeriodicalIF":2.8000,"publicationDate":"2021-02-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1017/fmp.2021.1","citationCount":"12","resultStr":"{\"title\":\"The fields of values of characters of degree not divisible by p\",\"authors\":\"G. Navarro, P. Tiep\",\"doi\":\"10.1017/fmp.2021.1\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract We study the fields of values of the irreducible characters of a finite group of degree not divisible by a prime p. In the case where $p=2$, we fully characterise these fields. In order to accomplish this, we generalise the main result of [ILNT] to higher irrationalities. We do the same for odd primes, except that in this case the analogous results hold modulo a simple-to-state conjecture on the character values of quasi-simple groups.\",\"PeriodicalId\":56024,\"journal\":{\"name\":\"Forum of Mathematics Pi\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":2.8000,\"publicationDate\":\"2021-02-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1017/fmp.2021.1\",\"citationCount\":\"12\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Forum of Mathematics Pi\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1017/fmp.2021.1\",\"RegionNum\":1,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Forum of Mathematics Pi","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1017/fmp.2021.1","RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 12

摘要

摘要我们研究了不可被素数p整除的有限度群的不可约特征的值域。在$p=2$的情况下，我们完全刻画了这些域。为了实现这一点，我们将[ILNT]的主要结果推广到更高的非理性。我们对奇素数也这样做，只是在这种情况下，类似的结果对拟简单群的特征值的简单状态猜想取模。

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

The fields of values of characters of degree not divisible by p

Abstract We study the fields of values of the irreducible characters of a finite group of degree not divisible by a prime p. In the case where $p=2$, we fully characterise these fields. In order to accomplish this, we generalise the main result of [ILNT] to higher irrationalities. We do the same for odd primes, except that in this case the analogous results hold modulo a simple-to-state conjecture on the character values of quasi-simple 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

Forum of Mathematics Pi Mathematics-Statistics and Probability

CiteScore

3.50

自引率

0.00%

发文量

审稿时长

19 weeks

期刊介绍： Forum of Mathematics, Pi is the open access alternative to the leading generalist mathematics journals and are of real interest to a broad cross-section of all mathematicians. Papers published are of the highest quality. Forum of Mathematics, Pi and Forum of Mathematics, Sigma are an exciting new development in journal publishing. Together they offer fully open access publication combined with peer-review standards set by an international editorial board of the highest calibre, and all backed by Cambridge University Press and our commitment to quality. Strong research papers from all parts of pure mathematics and related areas are welcomed. All published papers are free online to readers in perpetuity.