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 2016Show all

4 papers · 1 filter

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.AC2016★ 2 cited

Finitely generated modules over quasi-Euclidean rings

Luc Guyot

Let R be a unital commutative ring and let $M$ be an $R$ -module that is generated by $k$ elements but not less. Let $E_{n} (R)$ be the subgroup of $G L_{n} (R)$ generated by the elementar…

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…

math.AC2016

On quotients of generalized Euclidean group rings

Luc Guyot

Let $R = Z [C]$ be the integral group ring of a finite cyclic group $C$ . Dennis and al. proved that $R$ is a generalized Euclidean ring in the sense of P. M. Cohn, i.e., $S L_{n} (R)$ i…