Abstract

Abstract We suggest several automaton groups as platforms for Anshel–Anshel–Goldfeld key agreement metascheme. They include Grigorchuk and universal Grigorchuk groups, Hanoi 3-towers group, the Basilica group and a subgroup of the affine group Aff 4 ⁢ ( ℤ ) {\mathrm{Aff}_{4}(\mathbb{Z})} .

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