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math.GR2026
The Gruenberg-Kegel graph of finite solvable groups that are character-quadratic or semi-rational
Irene Crispi, Sara C. Debón, Emanuele Pacifici +2
A finite group is said to be semi-rational if the set of generators of each cyclic subgroup of is contained in at most two -conjugacy classes. This is equivalent to the…
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 <…