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Preprint Number 1129
1129. Albert Garreta, Alexei Miasnikov, Denis Ovchinnikov Properties of random nilpotent groups E-mail: Submission date: 5 December 2016 Abstract: We study random nilpotent groups of the form G=N/⟨⟨ R ⟩⟩, where N is a non-abelian free nilpotent group with m
generators,
and R is a set of r random relators of length l. We prove that the
following holds asymptotically almost surely as l → ∞: In the last three cases, systems of equations are decidable in G. Mathematics Subject Classification: Keywords and phrases: |

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