A conjecture on product decompositions in simple groups.

DOI10.4171/GGD/107zbMath1227.20006OpenAlexW2028374214WikidataQ123025530 ScholiaQ123025530MaRDI QIDQ531915

Martin W. Liebeck, Nikolay Nikolov, Aner Shalev

Publication date: 21 April 2011

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/ggd/107

zbMATH Keywords

finite simple groupsproducts of subgroupsfinite groups of Lie typeconjugate subgroups

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Simple groups: alternating groups and groups of Lie type (20D06) Products of subgroups of abstract finite groups (20D40)

Related Items (9)

On the product decomposition conjecture for finite simple groups ⋮ Primitive permutation groups as products of point stabilizers ⋮ \(\mathrm{SL}_2\)-factorizations of Chevalley groups. ⋮ Factorizing a finite group into conjugates of a subgroup. ⋮ Factorizations of finite groups by conjugate subgroups which are solvable or nilpotent ⋮ Some remarks on global/local conjectures ⋮ Conjugacy classes, growth and complexity ⋮ Groups equal to a product of three conjugate subgroups ⋮ Probabilistic and Asymptotic Aspects of Finite Simple Groups

Cites Work

• Unnamed Item
• Unnamed Item
• On the maximal subgroups of the finite classical groups
• Small-diameter Cayley graphs for finite simple groups
• On the minimal degrees of projective representations of the finite Chevalley groups
• On the diameter of a Cayley graph of a simple group of Lie type based on a conjugacy class
• Covering numbers for Chevalley groups
• Finite linear groups and bounded generation
• Groups of Lie type as products of \(\text{SL}_2\) subgroups.
• Universal lattices and unbounded rank expanders.
• SYMMETRIC GROUPS AS PRODUCTS OF ABELIAN SUBGROUPS
• A product decomposition for the classical quasisimple groups
• On the Orders of Maximal Subgroups of the Finite Classical Groups
• On the subgroup structure of exceptional groups of Lie type
• Finite simple groups as expanders
• Primitive permutation groups of bounded orbital diameter
• Diameters of finite simple groups: sharp bounds and applications

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