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5 papers · 1 filter
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…
Maximal Convergence Groups and Rank One Symmetric Spaces
Ara Basmajian, Mahmoud Zeinalian
We show that the group of conformal homeomorphisms of the boundary of a rank one symmetric space (except the hyperbolic plane) of noncompact type acts as a maximal convergence grou…
Discrete logarithms in free groups
Yiannis N. Petridis, Morten S. Risager
For the free group on n generators we prove that the discrete logarithm is distributed according to the standard Gaussian when the logarithm is renormalized appropriately.
A graphic generalization of arithmetic
Bilal Khan, Kiran R. Bhutani, Delaram Kahrobaei
In this paper, we extend the classical arithmetic defined over the set of natural numbers N, to the set of all finite directed connected multigraphs having a pair of distinct disti…
Gauge-Invariant Coordinates on Gauge-Theory Orbit Space
Peter Orland
A gauge-invariant field is found which describes physical configurations, i.e. gauge orbits, of non-Abelian gauge theories. This is accomplished with non-Abelian generalizations of…