The binary actions of sporadic groups
Coen del Valle, Nick Gill
Abstract
An action of a group is binary if it induces the group of automorphisms of some homogeneous edge-coloured directed graph. In this paper we study the quasisimple groups G with G/Z(G) a sporadic simple group---we produce a complete classification of their binary actions.
Create a lesson
Related papers
Automorphisms of Twisted Chevalley Groups of type 2 A3 and 2 A4 over Local Rings
Elena I. Bunina, Deep H. Makadiya
The Borovik-Cherlin conjecture holds in ACF
Ulla Karhumäki, Nicholas Ramsey
On commensurations of pro-C groups
Pedro Cusinato
On the Self-Similarity of Permutational Wreath Products and Their Embedding into Finitely Presented Simple Groups
Mailton Rego Almeida, Alex Carrazedo Dantas, Altair Santos de Oliveira-Tosti
Acylindrical Hyperbolicity and Pure Conjugating Automorphisms in Graph Products of Groups
Gianluca Paolini, Jean-Luc Rabideau
Common neighbour conjectures for Saxl graphs fail at every base size
Aluna Rizzoli, Adam R. Thomas