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Free-by-cyclic groups are equationally Noetherian

  • Motiejus Valiunas (University of Wrocław)
E2 10 (Leon-Lichtenstein)

Abstract

A group G is said to be equationally Noetherian if every system of equations over G has the same solution set as some finite subsystem. his property, introduced in the 1990s in the context of algebraic geometry over groups, has found its way into logic over groups and geometric group theory. In this talk, based on recent joint work with Monika Kudlinska, I will explain why all extensions of a finitely generated free group by the infinite cyclic group are equationally Noetherian.

Antje Vandenberg

MPI for Mathematics in the Sciences Contact via Mail

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