An improved 3-local characterisation of McL and its automorphism group

Abstract

This article presents a 3-local characterisation of the sporadic simple group McL and its automorphism group. The theorem is underpinned by a further identification theorem the proof of which is character theoretic. The main theorem is applied in our investigation of groups with a large 3-subgroup. An additional file containing Magma code has been attached to this submission.

Revised following reviewer comments

References in corpus (1)

• Groups which are almost groups of Lie type in characteristic p