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20122016
most citedThe Space of Geometric Limits of Abelian Subgroups of PSL2C

6 citations · 15 across the 8 of their papers we have counts for

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math.GT2012★ 1 cited

Introduction to Chabauty topology and Pictures of the Chabauty space of C*

Hyungryul Baik, Lucien Clavier

The aim of this paper is to provide a gentle introduction to Chabauty topology, while very little background knowledge is assumed. As an example, we provide pictures for the Chabau…

math.GT2012★ 6 cited

The Space of Geometric Limits of Abelian Subgroups of PSL2C

Hyungryul Baik, Lucien Clavier

We describe the topology of the space of all geometric limits of closed abelian subgroups of PSL2C. Main tools and ideas come from the previous paper [BC12].

math.GT2012★ 6 cited

The Space of Geometric Limits of One-generator Closed Subgroups of PSL2(R)

Hyungryul Baik, Lucien Clavier

We give a complete description of the closure of the space of one-generator closed subgroups of PSL2(R) for the Chabauty topology, by computing explicitly the matrices associated w…

math.GR2012★ 1 cited

About the autotopisms of abelian groups

Lucien Clavier

We describe the autotopism group Atp(G) of any abelian group G as being a semidirect product of its automorphism group Aut(G) and G^2. We then provide the subgroup structure of Atp…

math.AT2012

Visualizing Poincaré Duality

Lucien Clavier

We investigate some connections between two different ways of defining Poincaré Duality, and relate them geometrically to the level curve mapping.

math.GR2012

Enumeration of nilpotent loops up to isotopy

Lucien Clavier

We modify tools introduced by Daniel Daly and Petr Vojtechovsky in order to count, for any odd prime q, the number of nilpotent loops of order 2q up to isotopy, instead of isomorph…