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19922026
most citedExperimental and Theoretical Challenges in the Search for the Quark Gluon Plasma: The STAR Collaboration's Critical Assessment of the Evidence from RHIC Collisions

3.4k citations

Showing 2014 · math.GRShow all

7 papers · 2 filters

math.GR2014

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…

math.GR2014★ 6 cited

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…

math.GR2014★ 5 cited

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…

math.GR2014★ 5 cited

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…

math.GR2014★ 7 cited

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…

math.GR2014

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…

math.GR2014★ 13 cited

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…