{"title":"Camina p群的有理群代数","authors":"Ram Karan Choudhary, Sunil Kumar Prajapati","doi":"10.1007/s00013-025-02142-w","DOIUrl":null,"url":null,"abstract":"<div><p>In this article, we present a combinatorial formula for the Wedderburn decomposition of rational group algebras of Camina <i>p</i>-groups, where <i>p</i> is a prime. We also provide a complete set of primitive central idempotents of rational group algebras of these groups.</p></div>","PeriodicalId":8346,"journal":{"name":"Archiv der Mathematik","volume":"125 3","pages":"247 - 258"},"PeriodicalIF":0.5000,"publicationDate":"2025-08-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Rational group algebras of Camina p-groups\",\"authors\":\"Ram Karan Choudhary, Sunil Kumar Prajapati\",\"doi\":\"10.1007/s00013-025-02142-w\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In this article, we present a combinatorial formula for the Wedderburn decomposition of rational group algebras of Camina <i>p</i>-groups, where <i>p</i> is a prime. We also provide a complete set of primitive central idempotents of rational group algebras of these groups.</p></div>\",\"PeriodicalId\":8346,\"journal\":{\"name\":\"Archiv der Mathematik\",\"volume\":\"125 3\",\"pages\":\"247 - 258\"},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2025-08-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Archiv der Mathematik\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s00013-025-02142-w\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Archiv der Mathematik","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1007/s00013-025-02142-w","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
In this article, we present a combinatorial formula for the Wedderburn decomposition of rational group algebras of Camina p-groups, where p is a prime. We also provide a complete set of primitive central idempotents of rational group algebras of these groups.
期刊介绍:
Archiv der Mathematik (AdM) publishes short high quality research papers in every area of mathematics which are not overly technical in nature and addressed to a broad readership.