|
|
|
|
Литература
|
|
| |
| 1. |
Z. Arad, M. Herzog, Products of conjugacy classes in groups, Lect. Notes in Math., 1112, Springer-Verlag, Berlin–New York, 1985   |
| 2. |
A. Borel, Linear algebraic groups, Second Enlarged Edition, Springer-Verlag, 1997 |
| 3. |
N. Bourbaki, Groupes et algèbres de Lie, IV, V, VI, Hermann, Paris, 1968 |
| 4. |
J. L. Brenner, “Covering theorems for finasigs, X”, Ars Combinatoria, 16 (1983), 57–67 |
| 5. |
J. L. Brenner, R. J. List, “Application of partition theory to groups: Covering the alternating
group by products of conjugacy classes”, Number Theory, eds. J. M. De Koninck, C. Levesque, Walter de Gruyter, Berlin, New York, 1989, 65–71 |
| 6. |
R. W. Carter, Simple groups of Lie type, John Wiley & Sons, London, 1989 |
| 7. |
Y. Dvir, “Covering properties in permutation groups”, Products of conjugacy classes in groups, Lecture Notes in Mathematics, 1112, Springer-Verlag, Berlin etc., 1985, 197–221 |
| 8. |
E. W. Ellers, N. Gordeev, “Gauss decomposition with prescribed semisimple part in Chevalley groups”, Comm. Algebra, 22 (1994), 5935–5950  ; 23 (1995), 3085–3098 ; 24 (1996), 4447–4475 |
| 9. |
E. W. Ellers, N. Gordeev, M. Herzog, “Covering numbers for Chevalley groups”, Israel J. Math., 111 (1999), 339–372 |
| 10. |
N. Gordeev, “Products of conjugacy classes in algebraic groups, I, II”, J. Algebra, 173 (1995), 714–744, 745–779 |
| 11. |
N. Gordeev, J. Saxl, “Products of conjugacy classes in Chevalley groups. I: Extended covering
numbers”, Israel J. Math., 130 (2002), 207–248 |
| 12. |
N. Gordeev, J. Saxl “Products of conjugacy classes in Chevalley groups. II: Covering and
generation”, Israel J. Math., 130 (2002), 248–258 |
| 13. |
A. Lev, “Products of cyclic similarity classes in the groups $\mathrm{GL}_n(F)$”, Linear Algebra Appl., 202 (1994), 235–266 |
| 14. |
A. Lev, “The covering number of the group $\mathrm{PSL}_n(F)$”, J. Algebra, 182 (1996), 60–84 |
| 15. |
R. Lawther, M. Liebeck, “On the diameter of a Cayley graph of a simple group of Lie type based
on a conjugacy class”, J. Combinatorical Theory, Ser. A, 83 (1998), 118–137 |
| 16. |
M. Liebeck, A. Shalev, “Diameters of finite simple groups: sharp bounds and applications”, Annals of Math., 154 (2001), 383–406 |
| 17. |
N. Nikolov, “On the commutator width of perfect groups”, Bull. London Math. Soc., 36:1 (2004), 30–36 |
| 18. |
R. Steinberg, Lectures on Chevalley groups, Yale University, 1967 |
| 19. |
I. Zisser, “The covering numbers of the sporadic simple groups”, Israel J. Math., 67 (1989), 217–224 |
