03393nam 2200589Ia 450 991043814850332120200520144314.01-283-90905-71-4614-5450-610.1007/978-1-4614-5450-2(CKB)2670000000278243(EBL)1081924(OCoLC)818827923(SSID)ssj0000799759(PQKBManifestationID)11497649(PQKBTitleCode)TC0000799759(PQKBWorkID)10765056(PQKB)10348419(DE-He213)978-1-4614-5450-2(MiAaPQ)EBC1081924(PPN)16830306X(EXLCZ)99267000000027824320120112d2013 uy 0engur|n|---|||||txtccrLectures on finitely generated solvable groups /Katalin A. Bencsath ... [et al.]1st ed. 2013.New York Springerc20131 online resource (62 p.)SpringerBriefs in mathematicsDescription based upon print version of record.1-4614-5449-2 Includes bibliographical references.Foreword -- Preface.-  Preliminaries.-  Tools: Presentations and their Calculus.-  Constructions -- Representations and a Theorem of Krasner and Kaloujnine.- The Bieri-Strebel Theorems -- Finitely Generated Metabelian Groups -- An Embedding Theorem for Finitely Generated Metabelian Groups .- Sketch of Proof of Lemma 1.1 -- Theorem 2.1 Details -- Presenting an (Internal) HNN-Extension -- References.Lectures on Finitely Generated Solvable Groups are based on the “Topics in Group Theory" course focused on finitely generated solvable groups that was given by Gilbert G. Baumslag at the Graduate School and University Center of the City University of New York.  While knowledge about finitely generated nilpotent groups is extensive, much less is known about the more general class of solvable groups containing them.  The study of finitely generated solvable groups involves many different threads; therefore these notes contain discussions on HNN extensions; amalgamated and wreath products; and other concepts from combinatorial group theory as well as commutative algebra.  Along with Baumslag’s Embedding Theorem for Finitely Generated Metabelian Groups, two theorems of Bieri and Strebel are presented to provide a solid foundation for understanding the fascinating class of finitely generated solvable groups.  Examples are also supplied, which help illuminate many of the key concepts contained in the notes.  Requiring only a modest initial group theory background from graduate and post-graduate students, these notes provide a field guide to the class of finitely generated solvable groups from a combinatorial group theory perspective.SpringerBriefs in Mathematics,2191-8198Solvable groupsCombinatorial group theorySolvable groups.Combinatorial group theory.515.7242Bencsath Katalin A1061366MiAaPQMiAaPQMiAaPQBOOK9910438148503321Lectures on Finitely Generated Solvable Groups2518593UNINA01630nam 22004695u 450 991074649990332120231201184028.0(CKB)28450159900041(NyNyACM)10.1145/3581961(Association for Computing Machinery)10.1145/3581961(EXLCZ)992845015990004120231101d2023 uy engurnn#---mamaatxtrdacontentcrdamediacrrdacarrierAdjunct Proceedings of the 15th International Conference on Automotive User Interfaces and Interactive Vehicular ApplicationsNew York, New York, United States :Association for Computing Machinery,2023.1 online resource (382 pages)ACM Conferences.Title from The ACM Digital Library.9798400701122 ACM ConferencesAutomotiveUI '23 AdjunctComputer scienceUser studiesEmpirical studies in HCIHCI design and evaluation methodsComputer science.User studiesEmpirical studies in HCIHCI design and evaluation methodsACM Digital Library.SIGCHI (Group : U.S.)ACM SIGsAssociation for Computing MachineryACMBOOK9910746499903321Adjunct Proceedings of the 15th International Conference on Automotive User Interfaces and Interactive Vehicular Applications3568006UNINA