3 papers
math.GR2026
Groups with a conjugacy class that is the difference of two normal subgroups
Mark L. Lewis, Lucia Morotti, Emanuele Pacifici +2
We consider finite groups having a conjugacy class that is the difference of two normal subgroups. That is, suppose is a group and and are normal subgroups so that $N <…
math.RT2025
Irreducible restrictions of spin representations of symmetric and alternating groups
Alexander Kleshchev, Lucia Morotti, Pham Huu Tiep
Let be an algebraically closed field and be an almost quasi-simple group. An important problem in representation theory is to classify the subgroups and $\ma…
math.RT2025
On self-extensions of irreducible modules over symmetric groups, II
Lucia Morotti
It is conjectured that irreducible representations of symmetric groups have no non-trivial self-extension over fields of odd characteristic. We improve on partial results showing e…