L. Guyot

activity

20042022

most citedOn the isolated points in the space of groups

63 citations · 94 across the 12 of their papers we have counts for

collaborators

Showing 2016 · math.GRShow all

2 papers · 2 filters

math.GR2016

On Andrews-Curtis conjectures for soluble groups

Luc Guyot

The Andrews-Curtis conjecture claims that every normally generating $n$ -tuple of a free group $F_{n}$ of rank $n \geq 2$ can be reduced to a basis by means of Nielsen transformations…

math.GR2016

Generators of split extensions of Abelian groups by cyclic groups

Luc Guyot

Let $G ≃ M ⋊ C$ be an $n$ -generator group with $M$ Abelian and $C$ cyclic. We study the Nielsen equivalence classes and T-systems of generating $n$ -tuples of $G$ . The su…