On non-surjective word maps on \(\mathrm{PSL}_2(\mathbb{F}_q)\)

DOI10.1007/s00013-023-01917-3zbMath1530.20053arXiv2012.01408OpenAlexW4387407862MaRDI QIDQ6189004

Jyoti Prakash Saha, Arindam Biswas

Publication date: 12 January 2024

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.01408

zbMATH Keywords

Galois groupfinite simple groupword map

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Trace rings and invariant theory (associative rings and algebras) (16R30) Finite simple groups and their classification (20D05) Simple groups: alternating groups and groups of Lie type (20D06)

Cites Work

• Unnamed Item
• On the surjectivity of Engel words on \(PSL(2,q)\)
• An \(L_2\)-quotient algorithm for finitely presented groups on arbitrarily many generators.
• Product decompositions of quasirandom groups and a Jordan type theorem.
• The Waring problem for finite simple groups.
• An \(L_2\)-quotient algorithm for finitely presented groups.
• The inverse Galois problem for \(\mathrm{PSL}_2(\mathbb {F}_p)\)
• Word maps, conjugacy classes, and a noncommutative Waring-type theorem.
• The Ore conjecture.
• On the construction of Galois extensions of function fields and number fields
• Some word maps that are non-surjective on infinitely many finite simple groups
• Word maps and Waring type problems
• Characters of free groups represented in the two‐dimensional special linear group
• Diameters of finite simple groups: sharp bounds and applications

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