61 citations · 138 across the 19 of their papers we have counts for
4 papers · 1 filter
Systolic growth of linear groups
Khalid Bou-Rabee, Yves Cornulier
We prove that the residual girth of any finitely generated linear group is at most exponential. This means that the smallest finite quotient in which the -ball injects has at mo…
Full residual finiteness growths of nilpotent groups
Khalid Bou-Rabee, Daniel Studenmund
Full residual finiteness growth of a finitely generated group measures how efficiently word metric -balls of inject into finite quotients of . We initiate a study of…
Characterizing linear groups in terms of growth properties
Khalid Bou-Rabee, D. B. McReynolds
Residual finiteness growth measures how well-approximated a group is by its finite quotients. We prove that some related growth functions characterize linearity for a class of grou…
Residual Finiteness Growths of Virtually Special Groups
Khalid Bou-Rabee, Mark F. Hagen, Priyam Patel
Let be a virtually special group. Then the residual finiteness growth of is at most linear. This result cannot be found by embedding into a special linear group. Indeed…