{"title":"Constructing Representations of Finite Groups","authors":"J. Dixon","doi":"10.1090/dimacs/011/07","DOIUrl":"https://doi.org/10.1090/dimacs/011/07","url":null,"abstract":"","PeriodicalId":342609,"journal":{"name":"Groups And Computation","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129387333","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Implications of Parallel Architectures for Permutation Group Computations 293","authors":"B. W. York","doi":"10.1090/dimacs/011/21","DOIUrl":"https://doi.org/10.1090/dimacs/011/21","url":null,"abstract":"","PeriodicalId":342609,"journal":{"name":"Groups And Computation","volume":"34 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128150365","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We describe an experimental approach to studying infinite groups using a software package called Magnus being developed by the New York Group Theory Cooperative. This approach emphasises infinite groups and partial and experimental computation. These computations are frequently inconclusive and may only occasionally succeed. Such experimentation can guide theoretical development and lead to new and interesting questions.
{"title":"Experimenting and computing with infinite groups","authors":"G. Baumslag, Charles F. Miller","doi":"10.1090/dimacs/028/02","DOIUrl":"https://doi.org/10.1090/dimacs/028/02","url":null,"abstract":"We describe an experimental approach to studying infinite groups using a software package called Magnus being developed by the New York Group Theory Cooperative. This approach emphasises infinite groups and partial and experimental computation. These computations are frequently inconclusive and may only occasionally succeed. Such experimentation can guide theoretical development and lead to new and interesting questions.","PeriodicalId":342609,"journal":{"name":"Groups And Computation","volume":"48 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122733883","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A non-constructive recognition algorithm for the special linear and other classical groups","authors":"F. Celler, C. Leedham-Green","doi":"10.1090/dimacs/028/05","DOIUrl":"https://doi.org/10.1090/dimacs/028/05","url":null,"abstract":"","PeriodicalId":342609,"journal":{"name":"Groups And Computation","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123078622","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Efficient Computation of Isotypic Projections for the Symmetric Group 87","authors":"P. Diaconis, D. Rockmore","doi":"10.1090/dimacs/011/06","DOIUrl":"https://doi.org/10.1090/dimacs/011/06","url":null,"abstract":"","PeriodicalId":342609,"journal":{"name":"Groups And Computation","volume":"21 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121704214","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Random Remarks on Permutation Group Algorithms","authors":"W. Kantor","doi":"10.1090/dimacs/011/09","DOIUrl":"https://doi.org/10.1090/dimacs/011/09","url":null,"abstract":"","PeriodicalId":342609,"journal":{"name":"Groups And Computation","volume":"96 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123189972","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"GRAPE: A System for Computing with Graphs and Groups","authors":"L. H. Soicher","doi":"10.1090/dimacs/011/20","DOIUrl":"https://doi.org/10.1090/dimacs/011/20","url":null,"abstract":"","PeriodicalId":342609,"journal":{"name":"Groups And Computation","volume":"59 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124729585","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Algorithms for group actions applied to graph generation","authors":"Thomas Grüner, R. Laue, M. Meringer","doi":"10.1090/dimacs/028/09","DOIUrl":"https://doi.org/10.1090/dimacs/028/09","url":null,"abstract":"","PeriodicalId":342609,"journal":{"name":"Groups And Computation","volume":"56 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132018475","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Implementing a recognition algorithm for classical groups","authors":"Alice C. Niemeyer, C. Praeger","doi":"10.1090/dimacs/028/16","DOIUrl":"https://doi.org/10.1090/dimacs/028/16","url":null,"abstract":"","PeriodicalId":342609,"journal":{"name":"Groups And Computation","volume":"67 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114879045","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Computing Composition Series in Primitive Groups","authors":"L. Babai, E. Luks, Á. Seress","doi":"10.1090/dimacs/011/01","DOIUrl":"https://doi.org/10.1090/dimacs/011/01","url":null,"abstract":"","PeriodicalId":342609,"journal":{"name":"Groups And Computation","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129859526","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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