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math.GR2024
Triples of involutions in PGL(2,q) and their incidence geometries
Philippe Tranchida
For with an odd prime, the projective linear group can be seen as the stabilizer of a conic in a projective plane . In that setting, involu…
math.CO2024
Constructing new geometries: a generalized approach to halving for hypertopes
Claudio Alexandre Piedade, Philippe Tranchida
Given a residually connected incidence geometry that satisfies two conditions, denoted and , we construct a new geometry with properties similar to those…