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math.GR2025
Word maps and random words
Emmanuel Breuillard, Itay Glazer
We discuss some recent results by a number of authors regarding word maps on algebraic groups and finite simple groups, their mixing properties and the geometry of their fibers, em…
math.GR2024
Fourier and small ball estimates for word maps on unitary groups
Nir Avni, Itay Glazer, Michael Larsen
To a non-trivial word in a free group on elements and a group , one can associate the word map that takes an -tupl…
math.GR2020
Pro-isomorphic zeta functions of nilpotent groups and Lie rings under base extension
Mark N. Berman, Itay Glazer, Michael M. Schein
We consider pro-isomorphic zeta functions of the groups , where is a unipotent group scheme defined over and varies over all number fields. U…