The Resource Lectures on Finitely Generated Solvable Groups : [delta], by Katalin A. Bencsath, Marianna C. Bonanome, Margaret H. Dean, Marcos Zyman., (electronic book)
Lectures on Finitely Generated Solvable Groups : [delta], by Katalin A. Bencsath, Marianna C. Bonanome, Margaret H. Dean, Marcos Zyman., (electronic book)
Resource Information
The item Lectures on Finitely Generated Solvable Groups : [delta], by Katalin A. Bencsath, Marianna C. Bonanome, Margaret H. Dean, Marcos Zyman., (electronic book) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.This item is available to borrow from 1 library branch.
Resource Information
The item Lectures on Finitely Generated Solvable Groups : [delta], by Katalin A. Bencsath, Marianna C. Bonanome, Margaret H. Dean, Marcos Zyman., (electronic book) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.
This item is available to borrow from 1 library branch.
- 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; thereforethese 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 froma combinatorial group theory perspective
- Language
- eng
- Extent
- 1 online resource (XIV, 52 p.)
- Contents
-
- Foreword
- Preface.- Preliminaries.- Tools: Presentations and their Calculus.- Constructions
- Representations andaTheorem 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.
- Isbn
- 9781461454502
- Label
- Lectures on Finitely Generated Solvable Groups : [delta]
- Title
- Lectures on Finitely Generated Solvable Groups
- Title remainder
- [delta]
- 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; thereforethese 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 froma combinatorial group theory perspective
- Cataloging source
- VT2
- http://library.link/vocab/creatorName
- Bencsath, Katalin A
- Dewey number
- 512.2
- Index
- no index present
- LC call number
- QA182.5
- LC item number
- .L43 2013eb
- Literary form
- non fiction
- Nature of contents
- dictionaries
- http://library.link/vocab/relatedWorkOrContributorName
-
- Bonanome, Marianna C
- Dean, Margaret H
- Zyman, Marcos
- Series statement
- SpringerBriefs in Mathematics,
- http://library.link/vocab/subjectName
-
- Mathematics
- Algebra
- Group theory
- Combinatorial analysis
- Label
- Lectures on Finitely Generated Solvable Groups : [delta], by Katalin A. Bencsath, Marianna C. Bonanome, Margaret H. Dean, Marcos Zyman., (electronic book)
- Bibliography note
- Includes bibliographical references
- Contents
- Foreword -- Preface.- Preliminaries.- Tools: Presentations and their Calculus.- Constructions -- Representations andaTheorem 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.
- Control code
- SPR889209150
- Dimensions
- unknown
- Extent
- 1 online resource (XIV, 52 p.)
- Form of item
- online
- Isbn
- 9781461454502
- Other control number
- 10.1007/978-1-4614-5450-2
- Other physical details
- online resource.
- Reproduction note
- Electronic resource.
- Specific material designation
- remote
- Label
- Lectures on Finitely Generated Solvable Groups : [delta], by Katalin A. Bencsath, Marianna C. Bonanome, Margaret H. Dean, Marcos Zyman., (electronic book)
- Bibliography note
- Includes bibliographical references
- Contents
- Foreword -- Preface.- Preliminaries.- Tools: Presentations and their Calculus.- Constructions -- Representations andaTheorem 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.
- Control code
- SPR889209150
- Dimensions
- unknown
- Extent
- 1 online resource (XIV, 52 p.)
- Form of item
- online
- Isbn
- 9781461454502
- Other control number
- 10.1007/978-1-4614-5450-2
- Other physical details
- online resource.
- Reproduction note
- Electronic resource.
- Specific material designation
- remote
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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.liverpool.ac.uk/portal/Lectures-on-Finitely-Generated-Solvable-Groups-/ispcEu9zrNQ/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.liverpool.ac.uk/portal/Lectures-on-Finitely-Generated-Solvable-Groups-/ispcEu9zrNQ/">Lectures on Finitely Generated Solvable Groups : [delta], by Katalin A. Bencsath, Marianna C. Bonanome, Margaret H. Dean, Marcos Zyman., (electronic book)</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.liverpool.ac.uk/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.liverpool.ac.uk/">University of Liverpool</a></span></span></span></span></div>
