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Rigid Local Systems and Sporadic Simple Groups

Softcover ISBN: | 978-1-4704-7342-6 |
Product Code: | MEMO/308/1559 |
List Price: | $85.00 |
MAA Member Price: | $76.50 |
AMS Member Price: | $68.00 |
Not yet published - Preorder Now!
Expected availability date: June 04, 2025
eBook ISBN: | 978-1-4704-8146-9 |
Product Code: | MEMO/308/1559.E |
List Price: | $85.00 |
MAA Member Price: | $76.50 |
AMS Member Price: | $68.00 |
Softcover ISBN: | 978-1-4704-7342-6 |
eBook: ISBN: | 978-1-4704-8146-9 |
Product Code: | MEMO/308/1559.B |
List Price: | $170.00 $127.50 |
MAA Member Price: | $153.00 $114.75 |
AMS Member Price: | $136.00 $102.00 |
Not yet published - Preorder Now!
Expected availability date: June 04, 2025

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Rigid Local Systems and Sporadic Simple Groups
Softcover ISBN: | 978-1-4704-7342-6 |
Product Code: | MEMO/308/1559 |
List Price: | $85.00 |
MAA Member Price: | $76.50 |
AMS Member Price: | $68.00 |
Not yet published - Preorder Now!
Expected availability date: June 04, 2025
eBook ISBN: | 978-1-4704-8146-9 |
Product Code: | MEMO/308/1559.E |
List Price: | $85.00 |
MAA Member Price: | $76.50 |
AMS Member Price: | $68.00 |
Softcover ISBN: | 978-1-4704-7342-6 |
eBook ISBN: | 978-1-4704-8146-9 |
Product Code: | MEMO/308/1559.B |
List Price: | $170.00 $127.50 |
MAA Member Price: | $153.00 $114.75 |
AMS Member Price: | $136.00 $102.00 |
Not yet published - Preorder Now!
Expected availability date: June 04, 2025
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 308; 2025; 185 ppMSC: Primary 11; Secondary 20
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Table of Contents
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Chapters
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1. Introduction
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2. Almost quasisimple groups containing elements with simple spectra
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3. Preliminary results on condition $\mathrm {({\bf S+})}$
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4. $G_\mathrm {geom}$ and $G_\mathrm {arith}$
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5. Structure of $G_\mathrm {geom}$
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6. Rationality, moments, and reduction mod $\ell $ of hypergeometric sheaves
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7. Descents of hypergeometric sheaves
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8. The notational scheme for descents
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9. Proving finiteness of $G_\mathrm {geom}$
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10. The alternating group $\mathsf {A}_6$
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11. The alternating group $\mathsf {A}_7$
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12. The Mathieu group $\mathrm {M}_{11}$
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13. The Mathieu group ${\mathrm M}_{22}$
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14. The Mathieu group $\mathrm {M}_{23}$
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15. The Mathieu group $\mathrm {M}_{24}$
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16. The MacLaughlin group $\mathrm {McL}$
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17. The Janko group $\mathrm {J}_2$
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18. The Janko group $\mathrm {J}_3$
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19. The Rudvalis group $\mathrm {Ru}$
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20. The special linear group $\mathrm {PSL}_3(4)$
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21. The special unitary group $\mathrm {PSU}_4(3)$
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22. The symplectic group $\mathrm {Sp}_6(2)$
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23. The orthogonal group $\Omega ^+_8(2)$
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24. The exceptional group $G_2(3)$
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25. The exceptional group $G_2(4)$ and its subgroup $\mathrm {SU}_3(4)$
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26. The “exceptional” group $\mathrm {SU}_3(3) \cdot 2 \cong G_2(2)$
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27. The Suzuki group ${}^2\! B_2(8)$
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28. The “exceptional” group $\mathrm {SL}_2(8) \cdot 3 \cong {}^2\! G_2(3)$
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29. The Conway group $\mathrm {Co}_1$ and the Suzuki group $\mathrm {Suz}$
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30. Complex reflection groups
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31. Further local systems for $\mathrm {Sp}_6(2)$, $\mathrm {SU}_3(3)$, ${}^2\! G_2(3)$, and $2\mathsf {A}_7$
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32. Further multi-parameter local systems
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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: 308; 2025; 185 pp
MSC: Primary 11; Secondary 20
-
Chapters
-
1. Introduction
-
2. Almost quasisimple groups containing elements with simple spectra
-
3. Preliminary results on condition $\mathrm {({\bf S+})}$
-
4. $G_\mathrm {geom}$ and $G_\mathrm {arith}$
-
5. Structure of $G_\mathrm {geom}$
-
6. Rationality, moments, and reduction mod $\ell $ of hypergeometric sheaves
-
7. Descents of hypergeometric sheaves
-
8. The notational scheme for descents
-
9. Proving finiteness of $G_\mathrm {geom}$
-
10. The alternating group $\mathsf {A}_6$
-
11. The alternating group $\mathsf {A}_7$
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12. The Mathieu group $\mathrm {M}_{11}$
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13. The Mathieu group ${\mathrm M}_{22}$
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14. The Mathieu group $\mathrm {M}_{23}$
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15. The Mathieu group $\mathrm {M}_{24}$
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16. The MacLaughlin group $\mathrm {McL}$
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17. The Janko group $\mathrm {J}_2$
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18. The Janko group $\mathrm {J}_3$
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19. The Rudvalis group $\mathrm {Ru}$
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20. The special linear group $\mathrm {PSL}_3(4)$
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21. The special unitary group $\mathrm {PSU}_4(3)$
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22. The symplectic group $\mathrm {Sp}_6(2)$
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23. The orthogonal group $\Omega ^+_8(2)$
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24. The exceptional group $G_2(3)$
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25. The exceptional group $G_2(4)$ and its subgroup $\mathrm {SU}_3(4)$
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26. The “exceptional” group $\mathrm {SU}_3(3) \cdot 2 \cong G_2(2)$
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27. The Suzuki group ${}^2\! B_2(8)$
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28. The “exceptional” group $\mathrm {SL}_2(8) \cdot 3 \cong {}^2\! G_2(3)$
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29. The Conway group $\mathrm {Co}_1$ and the Suzuki group $\mathrm {Suz}$
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30. Complex reflection groups
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31. Further local systems for $\mathrm {Sp}_6(2)$, $\mathrm {SU}_3(3)$, ${}^2\! G_2(3)$, and $2\mathsf {A}_7$
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32. Further multi-parameter local systems
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
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