Fibers of word maps and the multiplicities of non-abelian composition factors

DOI10.1142/S0218196717500539zbMath1483.20030arXiv1703.00408MaRDI QIDQ4601328

Alexander Bors

Publication date: 15 January 2018

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.00408

zbMATH Keywords

finite groupscomposition factorsword mapscoset identities

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Series and lattices of subgroups (20D30) Finite simple groups and their classification (20D05) Algebraic geometry over groups; equations over groups (20F70)

Related Items (7)

Words, Hausdorff dimension and randomly free groups ⋮ Gaps in probabilities of satisfying some commutator-like identities ⋮ Characteristic covering numbers of finite simple groups ⋮ Groups satisfying identities with high probability ⋮ Words, permutations, and the nonsolvable length of a finite group ⋮ Geometry of word equations in simple algebraic groups over special fields ⋮ Erratum: Fibers of word maps and the multiplicities of non-abelian composition factors

Uses Software

• GAP

Cites Work

• Unnamed Item
• Fibers of word maps and some applications.
• Verbal width in anabelian groups
• Fibers of automorphic word maps and an application to composition factors
• Finite groups admitting a fixed-point-free automorphism group
• A NEW TYPE OF SIMPLE GROUPS OF FINITE ORDER
• Primitive Polynomials Over Finite Fields
• Maximal subgroups of sporadic groups
• Finite groups with an automorphism inverting, squaring or cubing a non-negligible fraction of elements
• Some Results and Problems in the Theory of Word Maps

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