{"title":"Bπ-特征的正常成分的核的构造","authors":"Jun Jin, Junwei Zhang","doi":"10.1515/math-2022-0587","DOIUrl":null,"url":null,"abstract":"Abstract Let G G be a π \\pi -separable group for some set π \\pi of primes, let χ ∈ B π ( G ) \\chi \\in {B}_{\\pi }\\left(G) and let N ◃ G N\\hspace{0.33em}<mml:mpadded xmlns:ali=\"http://www.niso.org/schemas/ali/1.0/\" xmlns:xsi=\"http://www.w3.org/2001/XMLSchema-instance\">\\triangleleft </mml:mpadded>\\hspace{0.33em}G . In this article, we explore how to construct a nucleus for an irreducible constituent of χ N {\\chi }_{N} via the given nucleus ( W , γ ) \\left(W,\\gamma ) for χ \\chi .","PeriodicalId":48713,"journal":{"name":"Open Mathematics","volume":null,"pages":null},"PeriodicalIF":1.0000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The construction of nuclei for normal constituents of Bπ-characters\",\"authors\":\"Jun Jin, Junwei Zhang\",\"doi\":\"10.1515/math-2022-0587\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract Let G G be a π \\\\pi -separable group for some set π \\\\pi of primes, let χ ∈ B π ( G ) \\\\chi \\\\in {B}_{\\\\pi }\\\\left(G) and let N ◃ G N\\\\hspace{0.33em}<mml:mpadded xmlns:ali=\\\"http://www.niso.org/schemas/ali/1.0/\\\" xmlns:xsi=\\\"http://www.w3.org/2001/XMLSchema-instance\\\">\\\\triangleleft </mml:mpadded>\\\\hspace{0.33em}G . In this article, we explore how to construct a nucleus for an irreducible constituent of χ N {\\\\chi }_{N} via the given nucleus ( W , γ ) \\\\left(W,\\\\gamma ) for χ \\\\chi .\",\"PeriodicalId\":48713,\"journal\":{\"name\":\"Open Mathematics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.0000,\"publicationDate\":\"2023-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Open Mathematics\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1515/math-2022-0587\",\"RegionNum\":4,\"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":"Open Mathematics","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1515/math-2022-0587","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
The construction of nuclei for normal constituents of Bπ-characters
Abstract Let G G be a π \pi -separable group for some set π \pi of primes, let χ ∈ B π ( G ) \chi \in {B}_{\pi }\left(G) and let N ◃ G N\hspace{0.33em}\triangleleft \hspace{0.33em}G . In this article, we explore how to construct a nucleus for an irreducible constituent of χ N {\chi }_{N} via the given nucleus ( W , γ ) \left(W,\gamma ) for χ \chi .
期刊介绍：
Open Mathematics - formerly Central European Journal of Mathematics
Open Mathematics is a fully peer-reviewed, open access, electronic journal that publishes significant, original and relevant works in all areas of mathematics. The journal provides the readers with free, instant, and permanent access to all content worldwide; and the authors with extensive promotion of published articles, long-time preservation, language-correction services, no space constraints and immediate publication.
Open Mathematics is listed in Thomson Reuters - Current Contents/Physical, Chemical and Earth Sciences. Our standard policy requires each paper to be reviewed by at least two Referees and the peer-review process is single-blind.
Aims and Scope
The journal aims at presenting high-impact and relevant research on topics across the full span of mathematics. Coverage includes:
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