{"title":"用数值方法研究非p群的5p次环积群的基性和正则性","authors":"S. H. Tsok, S. Hamma, I.B. Mshelia","doi":"10.56781/ijsrst.2023.2.2.0026","DOIUrl":null,"url":null,"abstract":"Let p be an odd prime number. This work applies some group concepts to construct the Wreath Product of two permutation groups of prime degrees. We used numerical approach to investigate and determine the primitive and regular nature of the constructed Wreath Product Group of degree 5p. We apply Computational Group Theory (GAP) to facilitate as well as validate our results.","PeriodicalId":123905,"journal":{"name":"International Journal of Scholarly Research in Science and Technology","volume":"17 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On primitivity and regularity of wreath product groups of degree 5p that are not p- groups using numerical approach\",\"authors\":\"S. H. Tsok, S. Hamma, I.B. Mshelia\",\"doi\":\"10.56781/ijsrst.2023.2.2.0026\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Let p be an odd prime number. This work applies some group concepts to construct the Wreath Product of two permutation groups of prime degrees. We used numerical approach to investigate and determine the primitive and regular nature of the constructed Wreath Product Group of degree 5p. We apply Computational Group Theory (GAP) to facilitate as well as validate our results.\",\"PeriodicalId\":123905,\"journal\":{\"name\":\"International Journal of Scholarly Research in Science and Technology\",\"volume\":\"17 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-06-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Scholarly Research in Science and Technology\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.56781/ijsrst.2023.2.2.0026\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Scholarly Research in Science and Technology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.56781/ijsrst.2023.2.2.0026","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On primitivity and regularity of wreath product groups of degree 5p that are not p- groups using numerical approach
Let p be an odd prime number. This work applies some group concepts to construct the Wreath Product of two permutation groups of prime degrees. We used numerical approach to investigate and determine the primitive and regular nature of the constructed Wreath Product Group of degree 5p. We apply Computational Group Theory (GAP) to facilitate as well as validate our results.
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