4 papers
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…
Binary partial groups
Philip Hackney, Justin Lynd, Edoardo Salati
There are many examples of `binary' partial groups in the literature: sets equipped an identity and a partially-defined binary operation, such that each element admits an inverse.…
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…
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.…