A. Miasnikov

activity

20062026

most citedGroups with free regular length functions in Z^n

6 citations · 13 across the 11 of their papers we have counts for

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math.GR2025

First-order sentences in random groups III

Olga Kharlampovich, Alexei Miasnikov, Rizos Sklinos

We show that a first-order sentence is almost surely true in a random group of density d<1/2 if and only if it is true in a non-abelian free group.

math.GR2025

The Diophantine problem in iterated wreath products of free abelian groups is undecidable

Olga Kharlampovich, Alexei Miasnikov

In this paper we prove that the Diophantine problem in iterated restricted wreath products $G$ of arbitrary non-trivial free abelian groups $A_{1}, \dots, A_{k}$ , $k > 1$ of finite ranks…