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Full Description
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.
Contents
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
