Claudio Alexandre Piedade

activity

20182026

collaborators

Showing 2026Show all

3 papers · 1 filter

math.CO2026

Coset geometries acting on their elements: The $j$ -diagonals twisting

Claudio Alexandre Piedade, Philippe Tranchida

Let $β$ be a coset incidence system and fix a type $j$ . We use the orbits of the group of $β$ on pairs of distinct $j$ -elements to define a Coxeter graph. The action on the $j$ -ele…

math.GR2026

The Geometry of Pattern Groups

João Dias, Claudio Alexandre Piedade

Coset incidence geometries are an important tool which connect group theory and geometry. While the representations of the unitriangular group and its pattern subgroups have been s…

math.GR2026

The geometry of wreath and semi-direct products

Claudio Alexandre Piedade, Philippe Tranchida

Coset geometries are incidence geometries constructed from a group $G$ and a system of subgroups $(G_{i})_{i \in I}$ of subgroups of $G$ . For any algebraic group operation, it is the…

Coset geometries acting on their elements: The j-diagonals twisting

The Geometry of Pattern Groups

The geometry of wreath and semi-direct products

Coset geometries acting on their elements: The $j$ -diagonals twisting