In this paper we propose cryptosystems based on subgroup distortion in hyperbolic groups. We also include concrete examples of hyperbolic groups as possible platforms.

a subgroup x of a group g is said to be an h -subgroup if n_g(x) ∩ x^g ≤ x for each element g belonging to g. in [m. bianchi e. a., on finite soluble groups in which normality is a transitive relation, j. group theory, 3 (2000), 147–156] the authors showed that finite groups in which every subgroup has the h -property are exactly soluble groups in which normality is a transitive relation. here ...

In this paper, we define a generalized Wielandt subgroup, local generalized Wielandt subgroup and its series for finite group and discuss its different basic properties which explain the notion of generalized Wielandt subgroup in a better way. We bound generalized Wielandt length as a function of nilpotency classes of its Sylow subgroups.

We advocate a new approach for addressing hidden structure problems and finding efficient quantum algorithms. We introduce and investigate the hidden symmetry subgroup problem (HSSP), which is a generalization of the well-studied hidden subgroup problem (HSP). Given a group acting on a set and an oracle whose level sets define a partition of the set, the task is to recover the subgroup of symme...

We define and discuss symmetric subgroup membership problems and their properties, including a relation to the Decision DiffieHellman problem. We modify the Cramer-Shoup framework, so that we can derive a chosen ciphertext secure cryptosystem in the standard model from symmetric subgroup membership problems. We also discuss how chosen ciphertext secure hybrid cryptosystems based on a symmetric ...

We summarize the studies and discussions of the Structure Function subgroup of the QCD working group of the Snowmass 1996 Workshop: New Directions for High Energy Physics.

Department of Computer Science and Helsinki Institute for Information Technology HIIT, University of Helsinki, Finland Department of Knowledge Technologies, Jožef Stefan Institute, Ljubljana, Slovenia International Postgraduate School Jožef Stefan, Ljubljana, Slovenia Department of Biotechnology and Systems Biology, National Institute of Biology, Ljubljana, Slovenia Email: {laura.langohr, hannu...

The cross sections of 235U were examined by WPEC Subgroup 18 focusing on the thermal and epithermal energy region. As a result, the ORNL group evaluated resolved resonance parameters of 235U up to 2.25 keV, which are currently used for all major libraries. Using the resolved resonance parameters, prediction accuracy of neutronic characteristics is satisfactory for thermal reactors. However, rec...

in which GiCG and Gi+1/Gi ⊂ Z(G/Gi) for all i. We call G solvable if it admits a normal series (1.1) in which Gi+1/Gi is abelian for all i. Every nilpotent group is solvable. Nilpotent groups include finite p-groups, and some theorems about p-groups extend to nilpotent groups (e.g., any nontrivial normal subgroup of a nilpotent group has a nontrivial intersection with the center). There is a la...