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Seminar: "Systems of equations in nilpotent groups" (Albert Garreta, Stevens Institute)

Seminari Teoria de Grups 2014/2015, session 29

Date: Tuesday July 14th, 17:30 - 18:30
Place: FME-UPC (room next to Sala de Professors)
Title:  Systems of equations in nilpotent groups.
Speaker: Albert Garreta (Stevens Institute).

Abstract:  We will see that systems of equations are undecidable in "almost all" f.g. nilpotent groups (not virtually abelian). For the remaining nilpotent groups, we will see that decidability depends on the extended Hilbert's 10th problem, an open problem from number theory. This is joint work with Alexei Miasnikov and Denis Ovchinnikov.

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