Products of squares in finite simple groups

DOI10.1090/S0002-9939-2011-10878-5zbMath1262.20013OpenAlexW2166299059MaRDI QIDQ5388781

Aner Shalev, Martin W. Liebeck, E. A. O'Brien, Pham Hũ'u Tiêp

Publication date: 20 April 2012

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2011-10878-5

zbMATH Keywords

finite simple groupsproducts of squares

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Simple groups: alternating groups and groups of Lie type (20D06) Representations of finite groups of Lie type (20C33)

Related Items (15)

Surjective word maps and Burnside's \(p^aq^b\) theorem ⋮ The involution width of finite simple groups ⋮ Computing \(n\)-th roots in \(\text{SL}_{2}\) and Fibonacci polynomials ⋮ Alternating groups as products of cycle classes ⋮ Character levels and character bounds for finite classical groups ⋮ The image of polynomials and Waring type problems on upper triangular matrix algebras ⋮ Characteristic covering numbers of finite simple groups ⋮ Equations in simple matrix groups: algebra, geometry, arithmetic, dynamics. ⋮ SURJECTIVITY AND EQUIDISTRIBUTION OF THE WORD x^ay^b ON PSL(2, q) AND SL(2, q) ⋮ Representation of finite groups: conjectures, reductions, and applications. ⋮ Lusztig induction, unipotent supports, and character bounds ⋮ On Engel words on simple algebraic groups. ⋮ CHARACTER LEVELS AND CHARACTER BOUNDS ⋮ On the \(p\)-width of finite simple groups ⋮ Probabilistic and Asymptotic Aspects of Finite Simple Groups

Uses Software

• GAP
• Magma

Cites Work

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