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Subsets of groups in public-key cryptography
André Carvalho, António Malheiro
We suggest the usage of algebraic subsets instead of subgroups in public-key cryptography. In particular, we present the subset version of two protocols introduced by Shpilrain and…
On generalized conjugacy and some related problems
André Carvalho
We establish a connection between the generalized conjugacy problem for a -by- group, , and two algorithmic problems for : the generali…
Eventually fixed points of endomorphisms of virtually free groups
André Carvalho
We consider the subgroup of points of finite orbit through the action of an endomorphism of a virtually free group, with particular emphasis on the subgroup of eventually fixed poi…
On uniformly continuous endomorphisms of hyperbolic groups
André Carvalho
We prove a generalization of the fellow traveller property for a certain type of quasi-geodesics and use it to present three equivalent geometric formulations of the bounded reduct…
On the dynamics of extensions of free-abelian times free groups endomorphisms to the completion
André Carvalho
We obtain conditions of uniform continuity for endomorphisms of free-abelian times free groups for the product metric defined by taking the prefix metric in each component and esta…