{"title":"在简单可约群上","authors":"Mohammad Reza Darafsheh, Manouchehr Misaghian","doi":"10.12988/ija.2023.91796","DOIUrl":null,"url":null,"abstract":"Simply reducible groups have applications in physics and chemistry. Their structures depends on the irreducible representations. In this paper we consider a class of groups called Z -groups and 2-groups of maximal rank and also extra-special 2-groups and examine them for simple reducibility. In the end we examine some other classes of finite groups for being SR or ASR","PeriodicalId":13756,"journal":{"name":"International Journal of Algebra and Computation","volume":"26 1","pages":"0"},"PeriodicalIF":0.5000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On simply reducible groups\",\"authors\":\"Mohammad Reza Darafsheh, Manouchehr Misaghian\",\"doi\":\"10.12988/ija.2023.91796\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Simply reducible groups have applications in physics and chemistry. Their structures depends on the irreducible representations. In this paper we consider a class of groups called Z -groups and 2-groups of maximal rank and also extra-special 2-groups and examine them for simple reducibility. In the end we examine some other classes of finite groups for being SR or ASR\",\"PeriodicalId\":13756,\"journal\":{\"name\":\"International Journal of Algebra and Computation\",\"volume\":\"26 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2023-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Algebra and Computation\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.12988/ija.2023.91796\",\"RegionNum\":2,\"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":"International Journal of Algebra and Computation","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12988/ija.2023.91796","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
Simply reducible groups have applications in physics and chemistry. Their structures depends on the irreducible representations. In this paper we consider a class of groups called Z -groups and 2-groups of maximal rank and also extra-special 2-groups and examine them for simple reducibility. In the end we examine some other classes of finite groups for being SR or ASR
期刊介绍：
The International Journal of Algebra and Computation publishes high quality original research papers in combinatorial, algorithmic and computational aspects of algebra (including combinatorial and geometric group theory and semigroup theory, algorithmic aspects of universal algebra, computational and algorithmic commutative algebra, probabilistic models related to algebraic structures, random algebraic structures), and gives a preference to papers in the areas of mathematics represented by the editorial board.
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