{"title":"群的Bredon同调计算","authors":"A. T. Bui, Graham Ellis","doi":"10.1007/s40062-016-0146-y","DOIUrl":null,"url":null,"abstract":"<p>We describe the basic ingredients of a general computational framework for performing machine calculations in the cohomology of groups. This has been implemented in the <span>GAP</span> system for computational algebra and the paper is intended to aid those wishing to extend that implementation to their own needs.</p>","PeriodicalId":636,"journal":{"name":"Journal of Homotopy and Related Structures","volume":"11 4","pages":"715 - 734"},"PeriodicalIF":0.5000,"publicationDate":"2016-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s40062-016-0146-y","citationCount":"2","resultStr":"{\"title\":\"Computing Bredon homology of groups\",\"authors\":\"A. T. Bui, Graham Ellis\",\"doi\":\"10.1007/s40062-016-0146-y\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>We describe the basic ingredients of a general computational framework for performing machine calculations in the cohomology of groups. This has been implemented in the <span>GAP</span> system for computational algebra and the paper is intended to aid those wishing to extend that implementation to their own needs.</p>\",\"PeriodicalId\":636,\"journal\":{\"name\":\"Journal of Homotopy and Related Structures\",\"volume\":\"11 4\",\"pages\":\"715 - 734\"},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2016-11-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1007/s40062-016-0146-y\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Homotopy and Related Structures\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s40062-016-0146-y\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Homotopy and Related Structures","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1007/s40062-016-0146-y","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
We describe the basic ingredients of a general computational framework for performing machine calculations in the cohomology of groups. This has been implemented in the GAP system for computational algebra and the paper is intended to aid those wishing to extend that implementation to their own needs.
期刊介绍:
Journal of Homotopy and Related Structures (JHRS) is a fully refereed international journal dealing with homotopy and related structures of mathematical and physical sciences.
Journal of Homotopy and Related Structures is intended to publish papers on
Homotopy in the broad sense and its related areas like Homological and homotopical algebra, K-theory, topology of manifolds, geometric and categorical structures, homology theories, topological groups and algebras, stable homotopy theory, group actions, algebraic varieties, category theory, cobordism theory, controlled topology, noncommutative geometry, motivic cohomology, differential topology, algebraic geometry.