Rigid Local Systems and Sporadic Simple Groups
Heftet /
2025
/ Engelsk
Produktdetaljer
ISBN
9781470473426
Publisert
2025-08-31
Utgiver
American Mathematical Society
Høyde
254 mm
Bredde
178 mm
Aldersnivå
P, 06
Språk
Product language
Engelsk
Format
Product format
Heftet
Antall sider
185
Biografisk notat
Nicholas Michael Katz, Princeton University, New Jersey, Antonio Rojas-Leon, Universidad de Sevilla, Spain, and Pham Huu Tiep, Rutgers University, Piscataway, New Jersey
The Memoirs of the AMS is devoted to the publication of new research in all areas of pure and applied mathematics. The Memoirs is designed particularly to publish long papers of groups of cognate papers in book form, and is under the supervision of the Editorial Committee of the AMS journal Transactions of the American Mathematical Society. All papers are peer-reviewed.
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Scholarly monographs in pure and applied mathematics compile extended collections of related studies into detailed volumes. Each work is rigorously peer-reviewed under the AMS editorial committee, ensuring high standards and in-depth inquiry across diverse mathematical disciplines.
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- 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 $\mathsf {A}_7$
- 12. The Mathieu group $\mathrm {M}_{11}$
- 13. The Mathieu group ${\mathrm M}_{22}$
- 14. The Mathieu group $\mathrm {M}_{23}$
- 15. The Mathieu group $\mathrm {M}_{24}$
- 16. The MacLaughlin group $\mathrm {McL}$
- 17. The Janko group $\mathrm {J}_2$
- 18. The Janko group $\mathrm {J}_3$
- 19. The Rudvalis group $\mathrm {Ru}$
- 20. The special linear group $\mathrm {PSL}_3(4)$
- 21. The special unitary group $\mathrm {PSU}_4(3)$
- 22. The symplectic group $\mathrm {Sp}_6(2)$
- 23. The orthogonal group $\Omega ^ _8(2)$
- 24. The exceptional group $G_2(3)$
- 25. The exceptional group $G_2(4)$ and its subgroup $\mathrm {SU}_3(4)$
- 26. The ""exceptional"" group $\mathrm {SU}_3(3) \cdot 2 \cong G_2(2)$
- 27. The Suzuki group ${}^2\! B_2(8)$
- 28. The ""exceptional"" group $\mathrm {SL}_2(8) \cdot 3 \cong {}^2\! G_2(3)$
- 29. The Conway group $\mathrm {Co}_1$ and the Suzuki group $\mathrm {Suz}$
- 30. Complex reflection groups
- 31. Further local systems for $\mathrm {Sp}_6(2)$, $\mathrm {SU}_3(3)$, ${}^2\! G_2(3)$, and $2\mathsf {A}_7$
- 32. Further multi-parameter local systems
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Produktdetaljer
ISBN
9781470473426
Publisert
2025-08-31
Utgiver
American Mathematical Society
Høyde
254 mm
Bredde
178 mm
Aldersnivå
P, 06
Språk
Product language
Engelsk
Format
Product format
Heftet
Antall sider
185