3 papers
math.GR2026
Brauer-Fowler Bounds for Elements of Odd Prime Order
Alessandro Dioguardi Burgio, Kıvanç Ersoy, Edoardo Salati
The Brauer--Fowler theorem bounds the order of a finite simple group in terms of the order of the centralizer of an involution. Hartley proved an automorphism version, bounding the…
math.GR2026
Large subgroups of fusion systems and localities
Ellen Henke, Edoardo Salati
Saturated fusion systems are categories modeling properties of conjugacy of p-subgroups in finite groups. It was shown by Chermak that they correspond nicely to group-like structur…
math.GR2026
Embeddable partial groups
Philip Hackney, Justin Lynd, Edoardo Salati
We record a folklore theorem that says a partial group embeds in a group if and only if each word has at most one possible multiplication, regardless of choice of parenthesization.…