Diameters of Finite Simple Groups: Sharp Bounds and Applications

Martin W. Liebeck, Aner Shalev

Type: Article

Publication Date: 2001-09-01

Citations: 128

DOI: https://doi.org/10.2307/3062101

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Annals of Mathematics - View

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Works Cited by This (23)

Action	Title	Year	Authors
+	The Subgroup Structure of the Finite Classical Groups	1990	Peter B. Kleidman Martin W. Liebeck
+	Group representations in probability and statistics	1988	Persi Diaconis
+	On the Diameter of a Cayley Graph of a Simple Group of Lie Type Based on a Conjugacy Class	1998	R. Lawther Martin W. Liebeck
+ PDF Chat	Covering Theorems for FINASIGS VIII—almost all conjugacy classes in <i>A</i><sub>n</sub> have exponent ≤4	1978	J. L. Brenner
+	Upper Bounds for the Number of Conjugacy Classes of a Finite Group	1997	Martin W. Liebeck László Pyber
+ PDF Chat	Varieties and simple groups	1974	Gareth A. Jones
+	The probability of generating a classical group	1994	Robert M. Guralnick William M. Kantor Jan Saxl
+	Random Generation of Finite Simple Groups	1999	Robert M. Guralnick Martin W. Liebeck Jan Saxl Aner Shalev
+	Characters and Random Walks on Finite Classical Groups	1997	David Gluck
+	Sharper Character Value Estimates for Groups of Lie Type	1995	David Gluck