@article{ZNSL_2005_321_a3,
author = {N. L. Gordeev},
title = {Products of conjugacy classes in perfect linear groups.},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {67--89},
year = {2005},
volume = {321},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2005_321_a3/}
}
N. L. Gordeev. Products of conjugacy classes in perfect linear groups.. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 12, Tome 321 (2005), pp. 67-89. http://geodesic.mathdoc.fr/item/ZNSL_2005_321_a3/
[1] Z. Arad, M. Herzog, Products of conjugacy classes in groups, Lect. Notes in Math., 1112, Springer-Verlag, Berlin–New York, 1985 | MR | Zbl
[2] A. Borel, Linear algebraic groups, Second Enlarged Edition, Springer-Verlag, 1997 | MR | Zbl
[3] N. Bourbaki, Groupes et algèbres de Lie, IV, V, VI, Hermann, Paris, 1968 | MR
[4] J. L. Brenner, “Covering theorems for finasigs, X”, Ars Combinatoria, 16 (1983), 57–67 | MR | Zbl
[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 | MR
[6] R. W. Carter, Simple groups of Lie type, John Wiley Sons, London, 1989 | MR | Zbl
[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 | MR
[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 | DOI | MR | Zbl | DOI | MR | Zbl | DOI | MR | Zbl
[9] E. W. Ellers, N. Gordeev, M. Herzog, “Covering numbers for Chevalley groups”, Israel J. Math., 111 (1999), 339–372 | DOI | MR | Zbl
[10] N. Gordeev, “Products of conjugacy classes in algebraic groups, I, II”, J. Algebra, 173 (1995), 714–744, 745–779 | MR
[11] N. Gordeev, J. Saxl, “Products of conjugacy classes in Chevalley groups. I: Extended covering numbers”, Israel J. Math., 130 (2002), 207–248 | DOI | MR | Zbl
[12] N. Gordeev, J. Saxl “Products of conjugacy classes in Chevalley groups. II: Covering and generation”, Israel J. Math., 130 (2002), 248–258 | MR
[13] A. Lev, “Products of cyclic similarity classes in the groups $\mathrm{GL}_n(F)$”, Linear Algebra Appl., 202 (1994), 235–266 | DOI | MR | Zbl
[14] A. Lev, “The covering number of the group $\mathrm{PSL}_n(F)$”, J. Algebra, 182 (1996), 60–84 | DOI | MR | Zbl
[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 | DOI | MR | Zbl
[16] M. Liebeck, A. Shalev, “Diameters of finite simple groups: sharp bounds and applications”, Annals of Math., 154 (2001), 383–406 | DOI | MR | Zbl
[17] N. Nikolov, “On the commutator width of perfect groups”, Bull. London Math. Soc., 36:1 (2004), 30–36 | DOI | MR | Zbl
[18] R. Steinberg, Lectures on Chevalley groups, Yale University, 1967 | MR
[19] I. Zisser, “The covering numbers of the sporadic simple groups”, Israel J. Math., 67 (1989), 217–224 | DOI | MR | Zbl