Word images in symmetric and classical groups of Lie type are dense
From MaRDI portal
Publication:2046733
DOI10.2140/pjm.2021.311.475OpenAlexW2898189479WikidataQ115230553 ScholiaQ115230553MaRDI QIDQ2046733
Publication date: 19 August 2021
Published in: Pacific Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1802.09289
Simple groups: alternating groups and groups of Lie type (20D06) Symmetric groups (20B30) Other matrix groups over finite fields (20H30)
Cites Work
- Unnamed Item
- New topological methods to solve equations over groups
- On the dimension of matrix embeddings of torsion-free nilpotent groups
- Word maps and word maps with constants of simple algebraic groups
- Unipotent class representatives for finite classical groups
- On free subgroups of semi-simple groups
- The Waring problem for Lie groups and Chevalley groups
- \(L^2\)-Betti numbers of one-relator groups.
- Rings of Fricke characters and automorphism groups of free groups
- Some geometric properties of metric ultraproducts of finite simple groups
- Words, Hausdorff dimension and randomly free groups
- Bounded normal generation and invariant automatic continuity
- Word maps have large image.
- Matrix representations for torsion-free nilpotent groups by Deep Thought.
- Free differential calculus. I: Derivation in the free group ring
- Some word maps that are non-surjective on infinitely many finite simple groups
- Word values in p -adic and adelic groups
- About Goto's method showing surjectivity of word maps
- Width questions for finite simple groups
- Word maps and Waring type problems
- The Finite Simple Groups
- Trace Polynomial for Two Generator Subgroups of SL(2, C)
- Some remarks on finitarily approximable groups
- Word maps on perfect algebraic groups
- Convergent Sequences in Discrete Groups
- Characters of free groups represented in the two‐dimensional special linear group
- Waring Problem for Finite Quasisimple Groups
- On the lattice of normal subgroups in ultraproducts of compact simple groups
- IMAGES OF WORD MAPS IN FINITE SIMPLE GROUPS
- Hyperlinear and Sofic Groups: A Brief Guide
- On the conjugacy classes in the unitary, symplectic and orthogonal groups
This page was built for publication: Word images in symmetric and classical groups of Lie type are dense