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math.GR2026
Common neighbour conjectures for Saxl graphs fail at every base size
Aluna Rizzoli, Adam R. Thomas
For a finite permutation group, a base is a set of points with trivial pointwise stabiliser, and the generalised Saxl graph records which pairs of points lie together in a base of…
math.GR2026
Finding 59:29 in the Monster
Heiko Dietrich, Melissa Lee, Anthony Pisani +1
The classification of the maximal subgroups of the Monster group has been completed recently, and explicit generators for each such subgroup (up to conjugacy) have been made availa…
math.GR2019
Finite Singular Orbit Modules for Algebraic Groups
Aluna Rizzoli
Building on the classification of modules for algebraic groups with finitely many orbits on subspaces, we determine all faithful irreducible modules for simple and maximal-semisimp…