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The Generation Problem in Thompson Group $F$
 
Gili Golan Polak Ben Gurion University of the Negev, Be’er Sheva, Israel
Softcover ISBN:  978-1-4704-6723-4
Product Code:  MEMO/292/1451
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
eBook ISBN:  978-1-4704-7696-0
Product Code:  MEMO/292/1451.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-6723-4
eBook: ISBN:  978-1-4704-7696-0
Product Code:  MEMO/292/1451.B
List Price: $170.00 $127.50
MAA Member Price: $153.00 $114.75
AMS Member Price: $136.00 $102.00
Click above image for expanded view
The Generation Problem in Thompson Group $F$
Gili Golan Polak Ben Gurion University of the Negev, Be’er Sheva, Israel
Softcover ISBN:  978-1-4704-6723-4
Product Code:  MEMO/292/1451
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
eBook ISBN:  978-1-4704-7696-0
Product Code:  MEMO/292/1451.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-6723-4
eBook ISBN:  978-1-4704-7696-0
Product Code:  MEMO/292/1451.B
List Price: $170.00 $127.50
MAA Member Price: $153.00 $114.75
AMS Member Price: $136.00 $102.00
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 2922023; 94 pp
    MSC: Primary 20

    View the abstract.

  • Table of Contents
     
     
    • Chapters
    • 1. Introduction
    • 2. Preliminaries on $F$
    • 3. The Stallings $2$-core of subgroups of diagram groups
    • 4. Paths on the core of a subgroup $H\le F$
    • 5. The closure of a subgroup $H\le F$
    • 6. Transitivity of the action of $H$ on the set $\mathcal D$
    • 7. The generation problem in $F$
    • 8. The Tuples algorithm
    • 9. $F$ is a cyclic extension of a subgroup $K$ which has a maximal elementary amenable subgroup
    • 10. Computations related to $\mathcal {L}(H)$
    • 11. Solvable subgroups of Thompson’s group $F$
    • 12. Open problems
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 2922023; 94 pp
MSC: Primary 20

View the abstract.

  • Chapters
  • 1. Introduction
  • 2. Preliminaries on $F$
  • 3. The Stallings $2$-core of subgroups of diagram groups
  • 4. Paths on the core of a subgroup $H\le F$
  • 5. The closure of a subgroup $H\le F$
  • 6. Transitivity of the action of $H$ on the set $\mathcal D$
  • 7. The generation problem in $F$
  • 8. The Tuples algorithm
  • 9. $F$ is a cyclic extension of a subgroup $K$ which has a maximal elementary amenable subgroup
  • 10. Computations related to $\mathcal {L}(H)$
  • 11. Solvable subgroups of Thompson’s group $F$
  • 12. Open problems
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.