L. Guyot

collaborators

4 papers

math.AC2020

Equivalent generating vectors of finitely generated modules over commutative rings

Luc Guyot

Let $R$ be a commutative ring with identity and let $M$ be an $R$ -module which is generated by $μ$ elements but not fewer. We denote by $SL_{n} (R)$ the group of the $n…

math.AC2020

Equivalent generating pairs of an ideal of a commutative ring

Luc Guyot

Let $R$ be a commutative ring with identity and let $I$ be a two-generated ideal of $R$ . We denote by $SL_{2} (R)$ the group of $2 \times 2$ matrices over $R$ with dete…

math.GR2007

Limits of dihedral groups

Luc Guyot

We give a characterization of limits of dihedral groups in the space of finitely generated marked groups. We also describe the topological closure of dihedral groups in the space o…

math.GR2004

Growth rates of amenable groups

Goulnara Arzhantseva, Victor Guba, Luc Guyot

Let $F_{m}$ be a free group with $m$ generators and let $R$ be its normal subgroup such that $F_{m} / R$ projects onto $\zz$. We give a lower bound for the growth rate of the group $F_m/…