Elementary Theory of Groups and Group Rings, and Related Topics最新文献

Elementary Theory of Groups and Group Rings, and Related Topics Pub Date : 2020-02-10 DOI: 10.1515/9783110638387-203

G. Baumslag

{"title":"Remembrances of Gilbert","authors":"G. Baumslag","doi":"10.1515/9783110638387-203","DOIUrl":"https://doi.org/10.1515/9783110638387-203","url":null,"abstract":"Gilbert Baumslag was one of the leading infinite group theorists of the second half of the twentieth century. Through his own work, his students, and his mentoring, he had a profound effect on both the direction and interests in group theory. There is an ongoing seminar on his work given at Cornell University and various talks from this seminar can be found on the internet. The year he organized on combinatorial group theory at MSRI in 1989 ushered in much of the interest on automatic groups and hyperbolic groups. We note the paper by Alonso, Gersten, Shapiro, and Short explaining Gromov’s ideas on hyperbolic groups andwhich came out of that conference as one of foundational works in geometric group theory. Gilbert’s work and influence has been extremelywide, fromclassical combinatorial group theory, involving embedding theorems, and theory of nilpotent andone-relator groups to automatic andhyperbolic groups; the development of algebraic geometry over group with Myasnikov and Remeslennikov, which was instrumental in the proof of the Tarski theorems; the use of the variety of group representations with Peter Shalen; the development of groupbased cryptography. In addition to all this work in theoretical group theory, there was also his work on the Magnus project and all that it entailed in terms of computer implementations of group theoretic procedures. Since group theoretic procedures do not necessarily terminate, the Magnus project work as well as the work on group-based cryptography, veered greatly into computer science applications.","PeriodicalId":428206,"journal":{"name":"Elementary Theory of Groups and Group Rings, and Related Topics","volume":"39 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-02-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114644485","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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Conference booklet and talks 会议小册子及讲座

Elementary Theory of Groups and Group Rings, and Related Topics Pub Date : 2020-02-10 DOI: 10.1515/9783110638387-202

{"title":"Conference booklet and talks","authors":"","doi":"10.1515/9783110638387-202","DOIUrl":"https://doi.org/10.1515/9783110638387-202","url":null,"abstract":"The New York Group Theory seminar which now runs Friday afternoons at the City University Graduate Center is the world’s longest running Group Theory seminar. For over 60 years, the Group Theory Seminar has been crucial to the research efforts and accomplishments of the New York group Theory community. This will be a 2-day conference to honor the achievements of the seminar and in memory of the long time seminar leader, Gilbert Baumslag, who died 2 years ago. Through his students and his own work, Gilbert inspired a great deal of the research done by the seminar’s participants, many of whom have been attending the seminar throughout their professional lives. The conference will also celebrate the 70th birthday of two of the long time participants, Ben Fine and TonyGaglione, both ofwhomhaveworked closelywith Gilbert and with many other people associated with the seminar. Over the past 20 years, there has been tremendous progress in both infinite group theory and the interactions of group theory with logic and cryptography. Much of this material came together in the monumental work that resulted in a proof, by Kharlampovich and Myasnikov and, independently, by Sela, of the Tarski conjectures on free groups. To show an appreciation of these achievements that arose from the Group Theory seminar and to honor on their 70th birthdays two people, Benjamin Fine and Anthony Gaglione, who have made significant contributions to the area, there will be a 2-day conference on November 1–2, 2018. Thursday, November 1, it will be at Fairfield University in Fairfield, Connecticut, while November 2, 2018, it will be at the Graduate Center of CUNY at 34th Street and 5th Avenue in Manhattan. On Thursday evening there will be a dinner and birthday party, free of charge to conference participants, hosted by FairfieldUniversity. The speakers are predominantly people associatedwith the Group Theory Seminar.","PeriodicalId":428206,"journal":{"name":"Elementary Theory of Groups and Group Rings, and Related Topics","volume":"431 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-02-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133829316","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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Frontmatter

Elementary Theory of Groups and Group Rings, and Related Topics Pub Date : 2020-02-10 DOI: 10.1515/9783110638387-fm

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Separability properties of nilpotent ℚ[x]-powered groups 幂零幂群的可分性

Elementary Theory of Groups and Group Rings, and Related Topics Pub Date : 2020-02-10 DOI: 10.1515/9783110638387-017

S. Majewicz, Marcos Zyman

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The homology of groups, profinite completions, and echoes of Gilbert Baumslag 群的同源性、无限完备性和Gilbert Baumslag的回声

Elementary Theory of Groups and Group Rings, and Related Topics Pub Date : 2019-07-18 DOI: 10.1515/9783110638387-003

M. Bridson

引用次数: 1

On products of closed subsets in free groups 关于自由群中闭子集的积

Elementary Theory of Groups and Group Rings, and Related Topics Pub Date : 2019-06-11 DOI: 10.1515/9783110638387-009

Rita Gitik, E. Rips

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