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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 2005 · math.GRShow all

8 papers · 2 filters

math.GR2005

Some metric properties of automorphisms of groups

Alexei G. Myasnikov, Vladimir Shpilrain

Study of the dynamics of automorphisms of a group is usually focused on their growth and/or finite orbits, including fixed points. In this paper, we introduce properties of a diffe…

math.GR2005★ 77 cited

Peripheral fillings of relatively hyperbolic groups

D. Osin

A group theoretic version of Dehn surgery is studied. Starting with an arbitrary relatively hyperbolic group we define a peripheral filling procedure, which produces quotients…

math.GR2005

Densities in free groups and , Visible Points and Test Elements

Ilya Kapovich, Igor Rivin, Paul Schupp +1

In this article we relate two different densities. Let be the free group of finite rank and let be the abelianization map from onto . We pr…

math.GR2005

Computational explorations in Thompson's group F

Jose Burillo, Sean Cleary, Bert Wiest

We describe the results of some computational explorations in Thompson's group F. We describe experiments to estimate the cogrowth of F with respect to its standard finite generati…

math.GR2005

Bounding right-arm rotation distances

Sean Cleary, Jennifer Taback

Rotation distance measures the difference in shape between binary trees of the same size by counting the minimum number of rotations needed to transform one tree to the other. We d…

math.GR2005★ 14 cited

Thompson's group and public key cryptography

Vladimir Shpilrain, Alexander Ushakov

Recently, several public key exchange protocols based on symbolic computation in non-commutative (semi)groups were proposed as a more efficient alternative to well established prot…

math.GR2005

Distortion of wreath products in some finitely presented groups

Sean Cleary

Wreath products such as Z wr Z are not finitely-presentable yet can occur as subgroups of finitely presented groups. Here we compute the distortion of Z wr Z as a subgroup of Thomp…

math.GR2005★ 5 cited

Combinatorial and metric properties of Thompson's group T

Jose Burillo, Sean Cleary, Melanie Stein +1

We discuss metric and combinatorial properties of Thompson's group T, including normal forms for elements and unique tree pair diagram representatives. We relate these properties t…