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Generating pairs of solvable groups

Posted in
Luc Guyot
Thu, 16/12/2010 - 16:30 - 17:30
MPIM Lecture Hall

Any two basis of a finite dimensional vector space are related by a finite sequence of moves, namely the elementary moves of the  Gauss elimination process. Nielsen transfomations are group-theoretic analogs of Gauss's moves. A group may however possess unrelated generating n-tuples. Considering the case n=2, I will explain how to compute a complete set of invariants for the induced Nielsen equivalence relation in a class of abelian-by-cyclic groups.

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