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Saturated Fusion Systems on $p$-Groups of Maximal Class
| Softcover ISBN: | 978-1-4704-7237-5 |
| Product Code: | MEMO/307/1549 |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| eBook ISBN: | 978-1-4704-8090-5 |
| Product Code: | MEMO/307/1549.E |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| Softcover ISBN: | 978-1-4704-7237-5 |
| eBook: ISBN: | 978-1-4704-8090-5 |
| Product Code: | MEMO/307/1549.B |
| List Price: | $170.00 $127.50 |
| MAA Member Price: | $153.00 $114.75 |
| AMS Member Price: | $136.00 $102.00 |
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Saturated Fusion Systems on $p$-Groups of Maximal Class
| Softcover ISBN: | 978-1-4704-7237-5 |
| Product Code: | MEMO/307/1549 |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| eBook ISBN: | 978-1-4704-8090-5 |
| Product Code: | MEMO/307/1549.E |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| Softcover ISBN: | 978-1-4704-7237-5 |
| eBook ISBN: | 978-1-4704-8090-5 |
| Product Code: | MEMO/307/1549.B |
| List Price: | $170.00 $127.50 |
| MAA Member Price: | $153.00 $114.75 |
| AMS Member Price: | $136.00 $102.00 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 307; 2025; 115 ppMSC: Primary 20
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Table of Contents
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Chapters
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1. Introduction and main results
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2. General group theoretical results
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3. Maximal class $p$-groups
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4. Representations of groups with a cyclic Sylow $p$-subgroup
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5. A primer on fusion systems
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6. Fusion systems on $p$-groups of maximal class: Generalities
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7. Essential subgroups in exceptional maximal class $p$-groups
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8. The structure of $\gamma _1(S)$ when $\gamma _1(S)$ is $\mathcal {F}$-essential and $S$ is not exceptional
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9. The structure of $\gamma _1(S)$ when $\gamma _1(S)$ is $\mathcal {F}$-essential and $S$ is exceptional
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10. Locating $\mathcal {F}$-essential subgroups in groups of maximal class I
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11. Locating $\mathcal {F}$-essential subgroups in groups of maximal class II
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12. The saturated fusion systems on exceptional maximal class groups: The proof of Theorem B
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13. The saturated fusion systems on non-exceptional maximal class groups
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14. The proofs of Theorems A and C
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15. A series of examples with non-abelian $2$-step centralizer
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A. Saturated fusion systems on maximal class $p$-groups with $\gamma _1(S)$ abelian
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B. The saturated fusion systems on maximal class $3$-groups
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C. Computer code
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Additional Material
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RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Requests
Volume: 307; 2025; 115 pp
MSC: Primary 20
-
Chapters
-
1. Introduction and main results
-
2. General group theoretical results
-
3. Maximal class $p$-groups
-
4. Representations of groups with a cyclic Sylow $p$-subgroup
-
5. A primer on fusion systems
-
6. Fusion systems on $p$-groups of maximal class: Generalities
-
7. Essential subgroups in exceptional maximal class $p$-groups
-
8. The structure of $\gamma _1(S)$ when $\gamma _1(S)$ is $\mathcal {F}$-essential and $S$ is not exceptional
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9. The structure of $\gamma _1(S)$ when $\gamma _1(S)$ is $\mathcal {F}$-essential and $S$ is exceptional
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10. Locating $\mathcal {F}$-essential subgroups in groups of maximal class I
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11. Locating $\mathcal {F}$-essential subgroups in groups of maximal class II
-
12. The saturated fusion systems on exceptional maximal class groups: The proof of Theorem B
-
13. The saturated fusion systems on non-exceptional maximal class groups
-
14. The proofs of Theorems A and C
-
15. A series of examples with non-abelian $2$-step centralizer
-
A. Saturated fusion systems on maximal class $p$-groups with $\gamma _1(S)$ abelian
-
B. The saturated fusion systems on maximal class $3$-groups
-
C. Computer code
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.