Edoardo Salati

collaborators

6 papers

math.GR2026

A local approach to a programme of Meierfrankenfeld: initial setting and the symmetric case

Edoardo Salati

A large $p$ -subgroup of a group $G$ is a self-centralizing $p$ -subgroup $Q \leq G$ whose normalizer controls the normalizers of all the non-trivial, central subgroups of $Q$ . In 201…

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

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.…

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.…

math.GR2021

Limits and colimits, generators and relations of partial groups

Edoardo Salati

We analyse limits and colimits in the category $P a r t$ of partial groups, algebraic structures introduced by A. Chermak. We will prove that $P a r t$ is both complete and cocomplete an…