Search Results - "Guyot, Luc"

On the isolated points in the space of groups by de Cornulier, Yves, Guyot, Luc, Pitsch, Wolfgang

“…We investigate the isolated points in the space of finitely generated groups. We give a workable characterization of isolated groups and study their hereditary…”
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Equivalent generating vectors of finitely generated modules over commutative rings by Guyot, Luc

“…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 SLn(R) the group of the n×n…”
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Equivalent generating pairs of an ideal of a commutative ring by Guyot, Luc

“…Let R be a commutative ring with identity and let I be a two-generated ideal of R. We denote by SL2(R) the group of 2×2 matrices over R with determinant 1. We…”
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The multivariate Serre conjecture ring by Guyot, Luc, Yengui, Ihsen

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On quotients of generalized Euclidean group rings by Guyot, Luc

“…Let R = Z[C] be the integral group ring of a finite cyclic group C. Dennis et al. [4] proved that R is a generalized Euclidean ring in the sense of Cohn [3],…”
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On finitely generated modules over quasi-Euclidean rings by Guyot, Luc

“…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 GL n ( R )…”
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Limits of dihedral groups by Guyot, Luc

“…We characterise limits of dihedral groups in the space of finitely generated marked groups. We also describe the topological closure of dihedral groups in the…”
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The stable rank of $\mathbb{Z}[x]$ is $3 by Guyot, Luc

“…Grunewald, Mennicke and Vaserstein proved that the Bass stable rank of $\mathbb{Z}[x]$, the ring of the univariate polynomials over $\mathbb{Z}$, is $3$. This…”
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Connecting Artificial Brains to Robots in a Comprehensive Simulation Framework: The Neurorobotics Platform by Falotico, Egidio, Vannucci, Lorenzo, Ambrosano, Alessandro, Albanese, Ugo, Ulbrich, Stefan, Vasquez Tieck, Juan Camilo, Hinkel, Georg, Kaiser, Jacques, Peric, Igor, Denninger, Oliver, Cauli, Nino, Kirtay, Murat, Roennau, Arne, Klinker, Gudrun, Von Arnim, Axel, Guyot, Luc, Peppicelli, Daniel, Martínez-Cañada, Pablo, Ros, Eduardo, Maier, Patrick, Weber, Sandro, Huber, Manuel, Plecher, David, Röhrbein, Florian, Deser, Stefan, Roitberg, Alina, van der Smagt, Patrick, Dillman, Rüdiger, Levi, Paul, Laschi, Cecilia, Knoll, Alois C, Gewaltig, Marc-Oliver

“…Combined efforts in the fields of neuroscience, computer science, and biology allowed to design biologically realistic models of the brain based on spiking…”
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Equivalent generating vectors of finitely generated modules over commutative rings by Guyot, Luc

“…Let $R$ be a commutative ring with identity and let $M$ be an $R$-module which is generated by $\mu$ elements but not fewer. We denote by…”
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Equivalent generating pairs of an ideal of a commutative ring by Guyot, Luc

“…Let $R$ be a commutative ring with identity and let $I$ be a two-generated ideal of $R$. We denote by $\operatorname{SL}_2(R)$ the group of $2 \times 2$…”
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Rich periodic motor skills on humanoid robots: Riding the pedal racer by Gams, Andrej, van den Kieboom, Jesse, Vespignani, Massimo, Guyot, Luc, Ude, Ales, Ijspeert, Auke

“…Just as their discrete counterparts, periodic or rhythmic dynamic motion primitives allow easily modulated and robust motion generation, but for periodic…”
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The multivariate Serre conjecture ring by Guyot, Luc, Yengui, Ihsen

“…It is well-known that for any commutative unitary ring $\mathbf{R}$, the Serre conjecture ring $\mathbf{R}\langle X \rangle$, i.e., the localization of the…”
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The space of subgroups of an abelian group by de Cornulier, Yves, Guyot, Luc, Pitsch, Wolfgang

“…We carry out the Cantor—Bendixson analysis of the space of all subgroups of any countable abelian group and we deduce a complete classification of such spaces…”
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On Andrews-Curtis conjectures for soluble groups by Guyot, Luc

“…The Andrews-Curtis conjecture claims that every normally generating $n$-tuple of a free group $F_n$ of rank $n \ge 2$ can be reduced to a basis by means of…”
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Finitely generated modules over quasi-Euclidean rings by Guyot, Luc

“…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 $GL_n(R)$…”
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Generators of split extensions of Abelian groups by cyclic groups by Guyot, Luc

“…Let $G \simeq M \rtimes C$ be an $n$-generator group with $M$ Abelian and $C$ cyclic. We study the Nielsen equivalence classes and T-systems of generating…”
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On quotients of generalized Euclidean group rings by Guyot, Luc

“…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…”
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Limits of metabelian groups by Guyot, Luc

“…We describe the two-generated limits of abelian-by-(infinite cyclic) groups in the space of marked groups using number theoretic methods. We also discuss…”
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Limits of dihedral groups by Guyot, Luc

“…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…”
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