Word measures on \(\mathrm{GL}_N(q)\) and free group algebras

Combinatorics on words (68R15) Linear algebraic groups over finite fields (20G40) Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Free nonabelian groups (20E05) Representations of finite groups of Lie type (20C33) Other matrix groups over finite fields (20H30)

Cites Work

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Primitive words, free factors and measure preservation.
Expansion of random graphs: new proofs, new results
Second order freeness and fluctuations of random matrices. II: Unitary random matrices
Equations over groups, and groups with one defining relation
On locally indicable groups
Ideals of finite codimension in free algebras and the \(fc\)-localization
An algorithm for constructing Gröbner and free Schreier bases in free group algebras
A representation stability theorem for VI-modules
The Nevanlinna parametrization for some indeterminate Stieltjes moment problems associated with birth and death processes
Surface words are determined by word measures on groups
A counterexample to the unit conjecture for group rings
Babai's conjecture for high-rank classical groups with random generators
Random unitary representations of surface groups. I: Asymptotic expansions
Negative immersions for one-relator groups
Primitivity rank for random elements in free groups
Some orbits of free words that are determined by measures on finite groups
Word measures on symmetric groups
Matrix group integrals, surfaces, and mapping class groups. I. \(\mathrm{U}(\mathrm{n})\)
Representation stability and finite linear groups
Free ideal rings
On relators and diagrams for groups with one defining relation
Word maps and spectra of random graph lifts
Ordered groups and topology
Elements of finite order in groups with a single defining relation
Hypergeometric Orthogonal Polynomials and Their q-Analogues
On the number of cycles of given length of a free word in several random permutations
Probability
Generalized analytic functions
A list of applications of Stallings automata
Measure preserving words are primitive
Free Modules over Free Algebras and Free Group Algebras: The Schreier Technique
A Note on Group Rings of Certain Torsion-Free Groups
Groups of cohomological dimension one
A note on the trace method for random regular graphs
The Asymptotic Statistics of Random Covering Surfaces
Matrix group integrals, surfaces, and mapping class groups. II: \( \mathrm{O}\left( n\right)\) and \(\mathrm{Sp}\left( n\right) \)
Local statistics of random permutations from free products
Word measures on unitary groups: improved bounds for small representations

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