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The Maximal Subgroups of Classical Algebraic Groups
eBook ISBN: | 978-1-4704-0781-0 |
Product Code: | MEMO/67/365.E |
List Price: | $45.00 |
MAA Member Price: | $40.50 |
AMS Member Price: | $27.00 |
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The Maximal Subgroups of Classical Algebraic Groups
eBook ISBN: | 978-1-4704-0781-0 |
Product Code: | MEMO/67/365.E |
List Price: | $45.00 |
MAA Member Price: | $40.50 |
AMS Member Price: | $27.00 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 67; 1987; 286 ppMSC: Primary 20
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Table of Contents
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Chapters
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0. Introduction
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1. Preliminary lemmas
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2. $Q$-levels and commutator spaces
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3. Embeddings of parabolic subgroups
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4. The maximal rank theorem
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5. The classical module theorem
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6. Modules with 1-dimensional weight spaces
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7. The rank 1 theorem
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8. Natural embeddings of classical groups
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9. Component restrictions
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10. $V|X$ is usually basic
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11. $X = A_n$
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12. $X = B_n$, $C_n$, $D_n$, $n \neq 2$
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13. $X = B_2$, $C_2$, and $G_2$
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14. $X = F_4$ ($p>2$), $E_6$, $E_7$, $E_8$
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15. Exceptional cases for $p = 2$ or $3$
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16. Embeddings and prime restrictions
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17. The main theorems
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Requests
-
Chapters
-
0. Introduction
-
1. Preliminary lemmas
-
2. $Q$-levels and commutator spaces
-
3. Embeddings of parabolic subgroups
-
4. The maximal rank theorem
-
5. The classical module theorem
-
6. Modules with 1-dimensional weight spaces
-
7. The rank 1 theorem
-
8. Natural embeddings of classical groups
-
9. Component restrictions
-
10. $V|X$ is usually basic
-
11. $X = A_n$
-
12. $X = B_n$, $C_n$, $D_n$, $n \neq 2$
-
13. $X = B_2$, $C_2$, and $G_2$
-
14. $X = F_4$ ($p>2$), $E_6$, $E_7$, $E_8$
-
15. Exceptional cases for $p = 2$ or $3$
-
16. Embeddings and prime restrictions
-
17. The main theorems
Review Copy – for publishers of book reviews
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