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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 2004 · math.GRShow all

7 papers · 2 filters

math.GR2004★ 3 cited

The conjugacy search problem in public key cryptography: unnecessary and insufficient

Vladimir Shpilrain, Alexander Ushakov

The conjugacy search problem in a group G is the problem of recovering an x in G from given g in G and h=x^{-1}gx. This problem is in the core of several recently suggested public…

math.GR2004★ 2 cited

Combinatorial group theory and public key cryptography

Vladimir Shpilrain, Gabriel Zapata

After some excitement generated by recently suggested public key exchange protocols due to Anshel-Anshel-Goldfeld and Ko-Lee et al., it is a prevalent opinion now that the conjugac…

math.GR2004★ 8 cited

Cone types and geodesic languages for lamplighter groups and Thompson's group F

Sean Cleary, Murray Elder, Jennifer Taback

We study languages of geodesics in lamplighter groups and Thompson's group F. We show that the lamplighter groups have infinitely many cone types, have no regular geodesic la…

math.GR2004

Translation equivalence in free groups

Ilya Kapovich, Gilbert Levitt, Paul Schupp +1

Motivated by the work of Leininger on hyperbolic equivalence of homotopy classes of closed curves on surfaces, we investigate a similar phenomenon for free groups. Namely, we study…

math.GR2004

A finitely presented group with unbounded dead-end depth

Sean Cleary, Tim R. Riley

The dead-end depth of an element g of a group G, with respect to a generating set A is the distance from g to the complement of the radius closed ball, in the word metri…

math.GR2004

Elementary subgroups of relatively hyperbolic groups and bounded generation

D. V. Osin

Let be a group hyperbolic relative to a collection of subgroups . We say that a subgroup is hyperbolically embedded into , if is hyperbolic rel…

math.GR2004

Uniform non--amenability of free Burnside groups

D. V. Osin

We show that free Burnside groups of sufficiently large odd exponent are non--amenable in a certain strong sense, more precisely, their left regular representations are isolated fr…