3.4k citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- City University of New YorkUS566 papers
- The Graduate Center, CUNYUS277 papers
- Yale UniversityUS182 papers
- Brookhaven National LaboratoryUS162 papers
- University of California, BerkeleyUS136 papers
- Lawrence Berkeley National LaboratoryUS130 papers
- The University of Texas at AustinUS130 papers
- University of WashingtonUS130 papers
- Indiana University BloomingtonUS119 papers
- Argonne National LaboratoryUS118 papers
- Max Planck Institute for PhysicsDE116 papers
- The Ohio State UniversityUS116 papers
7 papers · 2 filters
Navigating in the Cayley graph of and applications to hashing
Lisa Bromberg, Vladimir Shpilrain, Alina Vdovina
Cayley hash functions are based on a simple idea of using a pair of (semi)group elements, and , to hash the 0 and 1 bit, respectively, and then to hash an arbitrary bit stri…
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…
Commensurations and Metric Properties of Houghton's Groups
José Burillo, Sean Cleary, Armando Martino +1
We describe the automorphism groups and the abstract commensurators of Houghton's groups. Then we give sharp estimates for the word metric of these groups and deduce that the comme…
Obstructions for subgroups of Thompson's group
José Burillo, Sean Cleary, Claas E. Röver
Thompson's group has a rich variety of subgroups, containing all finite groups, all finitely generated free groups and all finitely generated abelian groups, the finitary permu…
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…