V. Roman’kov

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20112019

most citedLinear decomposition attack on public key exchange protocols using semidirect products of (semi)groups

12 citations · 28 across the 10 of their papers we have counts for

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math.GR2011★ 12 cited

On Rationality of Verbal Subsets In a Group

A. Myasnikov, V. Roman'kov

Let $F$ be a free non-abelian group. We show that for any group word $w$ the set $w [F]$ of all values of $w$ in $F$ is rational in $F$ if and only if $w [F] = 1$ or $w [F] = F .$ We g…