On the diameter of a Cayley graph of a simple group of Lie type based on a conjugacy class

DOI10.1006/jcta.1998.2869zbMath0911.05035OpenAlexW1979420538WikidataQ115395623 ScholiaQ115395623MaRDI QIDQ1268608

Martin W. Liebeck, Ross Lawther

Publication date: 18 October 1998

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jcta.1998.2869

zbMATH Keywords

Cayley graphdiameterconjugacy classsimple groups

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Related Items (19)

The diameter of products of finite simple groups ⋮ Explicit strong boundedness for higher rank symplectic groups ⋮ On the orbital diameter of groups of diagonal type ⋮ Bounds for the diameters of orbital graphs of affine groups ⋮ Bounded generation for congruence subgroups of Sp4(R) ⋮ Some remarks on global/local conjectures ⋮ Character ratios for finite groups of Lie type, and applications ⋮ Conjugacy classes, growth and complexity ⋮ Covering the alternating groups by products of cycle classes. ⋮ A conjecture on product decompositions in simple groups. ⋮ Products of conjugacy classes in Chevalley groups. I: Extended covering numbers ⋮ Quotients of Calabi–Yau Varieties ⋮ Products of Conjugacy Classes in the Special Linear Groups ⋮ Characters of symmetric groups: sharp bounds and applications. ⋮ Word maps and Waring type problems ⋮ Covering numbers for Chevalley groups ⋮ Products of involutions in simple Chevalley groups ⋮ Finite linear groups and bounded generation ⋮ Sums of orbits of algebraic groups. I.

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