13 citations · 34 across the 24 of their papers we have counts for
30 papers
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 <…
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…
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…
On common zeros of characters of finite groups
Mark L. Lewis, Lucia Morotti, Emanuele Pacifici +2
Let be a finite group, and let denote the set of the irreducible complex characters of . An element is called a vanishing element of if there ex…
Generalised row and column removal results for decomposition numbers of spin representations of symmetric groups in characteristic 2
Lucia Morotti
We prove generalised row and column removal results for decomposition numbers of spin representations of symmetric groups in characteristic 2, similar to Donkin's results for decom…
Representations of symmetric and alternating groups and their double covers that remain irreducible modulo every prime
Matthew Fayers, Lucia Morotti
We classify globally irreducible representations of alternating groups and double covers of symmetric and alternating groups. In order to achieve this classification we also comple…