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Subgroup Decomposition in $\mathrm{Out}(F_n)$
 
Michael Handel :  Lehman College, City University of New York, New York, NY
Lee Mosher :  Rutgers University, Newark, NJ
Subgroup Decomposition in Out(F_n)
Softcover ISBN:  978-1-4704-4113-5
Product Code:  MEMO/264/1280
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $51.00
eBook ISBN:  978-1-4704-5802-7
Product Code:  MEMO/264/1280.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $51.00
Softcover ISBN:  978-1-4704-4113-5
eBook: ISBN:  978-1-4704-5802-7
Product Code:  MEMO/264/1280.B
List Price: $170.00 $127.50
MAA Member Price: $153.00 $114.75
AMS Member Price: $102.00 $76.50
Add to cart
Subgroup Decomposition in Out(F_n)
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Subgroup Decomposition in $\mathrm{Out}(F_n)$
Michael Handel :  Lehman College, City University of New York, New York, NY
Lee Mosher :  Rutgers University, Newark, NJ
Softcover ISBN:  978-1-4704-4113-5
Product Code:  MEMO/264/1280
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $51.00
eBook ISBN:  978-1-4704-5802-7
Product Code:  MEMO/264/1280.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $51.00
Softcover ISBN:  978-1-4704-4113-5
eBook ISBN:  978-1-4704-5802-7
Product Code:  MEMO/264/1280.B
List Price: $170.00 $127.50
MAA Member Price: $153.00 $114.75
AMS Member Price: $102.00 $76.50
Add to cart
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 264; 2020; 276 pp
    MSC: Primary 20; Secondary 57

    In this work the authors develop a decomposition theory for subgroups of \(\mathsf{Out}(F_n)\) which generalizes the decomposition theory for individual elements of \(\mathsf{Out}(F_n)\) found in the work of Bestvina, Feighn, and Handel, and which is analogous to the decomposition theory for subgroups of mapping class groups found in the work of Ivanov.
  • Table of Contents
     
     
    • Chapters
    • Introduction to Subgroup Decomposition
    • 1. Geometric Models
    • Introduction to Part I
    • 1. Preliminaries: Decomposing outer automorphisms
    • 2. Geometric EG strata and geometric laminations
    • 3. Vertex groups and vertex group systems
    • 2. A relative Kolchin theorem
    • Introduction to Part II
    • 4. Statements of the main results
    • 5. Preliminaries
    • 6. An outline of the relative Kolchin theorem
    • 7. $IA_n(\mathbb {Z}/3)$ periodic conjugacy classes
    • 8. $IA_n(\mathbb {Z}/3)$ periodic free factors
    • 9. Limit Trees
    • 10. Carrying asymptotic data: Proposition
    • 11. Finding Nielsen pairs: Proposition
    • 3. Weak Attraction Theory
    • Introduction to Part III
    • 12. The nonattracting subgroup system
    • 13. Nonattracted lines
    • 4. Relatively irreducible subgroups
    • Introduction to Part IV
    • 14. Ping-pong on geodesic lines
    • 15. Proof of Theorem C
    • 16. A filling lemma
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Memoirs of the American Mathematical Society
Volume: 264; 2020; 276 pp
MSC: Primary 20; Secondary 57

In this work the authors develop a decomposition theory for subgroups of \(\mathsf{Out}(F_n)\) which generalizes the decomposition theory for individual elements of \(\mathsf{Out}(F_n)\) found in the work of Bestvina, Feighn, and Handel, and which is analogous to the decomposition theory for subgroups of mapping class groups found in the work of Ivanov.
  • Chapters
  • Introduction to Subgroup Decomposition
  • 1. Geometric Models
  • Introduction to Part I
  • 1. Preliminaries: Decomposing outer automorphisms
  • 2. Geometric EG strata and geometric laminations
  • 3. Vertex groups and vertex group systems
  • 2. A relative Kolchin theorem
  • Introduction to Part II
  • 4. Statements of the main results
  • 5. Preliminaries
  • 6. An outline of the relative Kolchin theorem
  • 7. $IA_n(\mathbb {Z}/3)$ periodic conjugacy classes
  • 8. $IA_n(\mathbb {Z}/3)$ periodic free factors
  • 9. Limit Trees
  • 10. Carrying asymptotic data: Proposition
  • 11. Finding Nielsen pairs: Proposition
  • 3. Weak Attraction Theory
  • Introduction to Part III
  • 12. The nonattracting subgroup system
  • 13. Nonattracted lines
  • 4. Relatively irreducible subgroups
  • Introduction to Part IV
  • 14. Ping-pong on geodesic lines
  • 15. Proof of Theorem C
  • 16. A filling lemma
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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