1 citations · 1 across the 6 of their papers we have counts for
7 papers
Sylow synchronization in finite groups: the good case
Hong Yi Huang, Francesca Lisi, Aluna Rizzoli +1
Let be a finite solvable group such that, for any prime and any quotient of , there are two Sylow -subgroups of intersecting in . Then, for every fami…
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…
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…
Multiplicity-free representations of the principal A1-subgroup in a simple algebraic group
Aluna Rizzoli, Donna Testerman
Let G be a simple algebraic group defined over an algebraically closed field k of characteristic p>0. Here we classify all irreducible kG-modules for which the principal A1 has no…
Generic stabilizers for simple algebraic groups acting on orthogonal and symplectic Grassmannians
Aluna Rizzoli
We consider faithful actions of simple algebraic groups on self-dual irreducible modules, and on the associated varieties of totally singular subspaces, under the assumption that t…
Modules for algebraic groups with finitely many orbits on totally singular 2-spaces
Aluna Rizzoli
This is the author's second paper treating the double coset problem for classical groups. Let be an algebraic group over an algebraically closed field . The double coset pro…
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…