{"title":"Association Schemes for Some Finite Group Rings II","authors":"Anuradha Sabharwal, Pooja Yadav, R. K. Sharma","doi":"10.52783/cana.v31.918","DOIUrl":null,"url":null,"abstract":"Association schemes have been used in coding theory and other combinatorial problems. In this paper, we construct association schemes for the abelian groups Z_2^r,〖 Z〗_(n_1 )×Z_(n_2 )×⋯×Z_(n_r ), set of n ×n matrices over Z_m and for the general linear group of order 2 over Z_2,Z_4, and Z_6. We also obtain association schemes for symmetric groups and alternating groups of degree 4 and 5 using canonical forms.","PeriodicalId":40036,"journal":{"name":"Communications on Applied Nonlinear Analysis","volume":" 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Communications on Applied Nonlinear Analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.52783/cana.v31.918","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 0
Abstract
Association schemes have been used in coding theory and other combinatorial problems. In this paper, we construct association schemes for the abelian groups Z_2^r,〖 Z〗_(n_1 )×Z_(n_2 )×⋯×Z_(n_r ), set of n ×n matrices over Z_m and for the general linear group of order 2 over Z_2,Z_4, and Z_6. We also obtain association schemes for symmetric groups and alternating groups of degree 4 and 5 using canonical forms.
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