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The Resource Lectures on Finitely Generated Solvable Groups, by Katalin A. Bencsath, Marianna C. Bonanome, Margaret H. Dean, Marcos Zyman, (electronic resource)
Lectures on Finitely Generated Solvable Groups, by Katalin A. Bencsath, Marianna C. Bonanome, Margaret H. Dean, Marcos Zyman, (electronic resource)
Resource Information
The item Lectures on Finitely Generated Solvable Groups, by Katalin A. Bencsath, Marianna C. Bonanome, Margaret H. Dean, Marcos Zyman, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.This item is available to borrow from all library branches.
Resource Information
The item Lectures on Finitely Generated Solvable Groups, by Katalin A. Bencsath, Marianna C. Bonanome, Margaret H. Dean, Marcos Zyman, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.
This item is available to borrow from all library branches.
 Summary
 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 postgraduate students, these notes provide a field guide to the class of finitely generated solvable groups from a combinatorial group theory perspective
 Language
 eng
 Extent
 XIV, 52 p.
 Contents

 Foreword
 Preface. Preliminaries. Tools: Presentations and their Calculus. Constructions
 Representations and a Theorem of Krasner and Kaloujnine. The BieriStrebel 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) HNNExtension
 References
 Isbn
 9781461454502
 Label
 Lectures on Finitely Generated Solvable Groups
 Title
 Lectures on Finitely Generated Solvable Groups
 Statement of responsibility
 by Katalin A. Bencsath, Marianna C. Bonanome, Margaret H. Dean, Marcos Zyman
 Language
 eng
 Summary
 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 postgraduate students, these notes provide a field guide to the class of finitely generated solvable groups from a combinatorial group theory perspective
 http://library.link/vocab/creatorName
 Bencsath, Katalin A
 Image bit depth
 0
 LC call number
 QA174183
 Literary form
 non fiction
 http://library.link/vocab/relatedWorkOrContributorName

 Bonanome, Marianna C.
 Dean, Margaret H.
 Zyman, Marcos.
 SpringerLink
 Series statement
 SpringerBriefs in Mathematics,
 http://library.link/vocab/subjectName

 Mathematics
 Algebra
 Group theory
 Combinatorics
 Mathematics
 Group Theory and Generalizations
 Combinatorics
 Algebra
 General Algebraic Systems
 Commutative Rings and Algebras
 Label
 Lectures on Finitely Generated Solvable Groups, by Katalin A. Bencsath, Marianna C. Bonanome, Margaret H. Dean, Marcos Zyman, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 Foreword  Preface. Preliminaries. Tools: Presentations and their Calculus. Constructions  Representations and a Theorem of Krasner and Kaloujnine. The BieriStrebel 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) HNNExtension  References
 Dimensions
 unknown
 Extent
 XIV, 52 p.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9781461454502
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9781461454502
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9781461454502
 Label
 Lectures on Finitely Generated Solvable Groups, by Katalin A. Bencsath, Marianna C. Bonanome, Margaret H. Dean, Marcos Zyman, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 Foreword  Preface. Preliminaries. Tools: Presentations and their Calculus. Constructions  Representations and a Theorem of Krasner and Kaloujnine. The BieriStrebel 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) HNNExtension  References
 Dimensions
 unknown
 Extent
 XIV, 52 p.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9781461454502
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9781461454502
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9781461454502
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.bu.edu/portal/LecturesonFinitelyGeneratedSolvableGroups/mvKoOGDc6ss/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.bu.edu/portal/LecturesonFinitelyGeneratedSolvableGroups/mvKoOGDc6ss/">Lectures on Finitely Generated Solvable Groups, by Katalin A. Bencsath, Marianna C. Bonanome, Margaret H. Dean, Marcos Zyman, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.bu.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.bu.edu/">Boston University Libraries</a></span></span></span></span></div>