Gabriel Zapata

activity

20042021

most citedCombinatorial group theory and public key cryptography

2 citations · 2 across the 4 of their papers we have counts for

collaborators

4 papers

math.GR2021

Rewriting Group Products with Transversals

Gabriel Zapata

For any group $G$ with subgroup $H$ and a set of representatives $T$ from the set of cosets $G / H$ , we develop a rewriting system from $G$ that bequeaths a product into the set deco…

math.GR2017

Preservation of Trees by semidirect Products

Gabriel Zapata

We show that the semidirect product of a group $C$ by $A *_{D} B$ is isomorphic to the free product of $A ⋊ C$ and $B ⋊ C$ amalgamated at $D ⋊ C$ , where $A$ , $B$ and $C…

math.GR2007

Using decision problems in public key cryptography

Vladimir Shpilrain, Gabriel Zapata

There are several public key establishment protocols as well as complete public key cryptosystems based on allegedly hard problems from combinatorial (semi)group theory known by no…

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…