Tiến Sĩ Periodic simple groups of finitary linear transformations

Abstract
A group is locally finite if every finite subset generates a finite subgroup.
A group of linear transformations is finitary if each element minus the identity
is an endomorphism of finite rank. The classification and structure theory for
locally finite simple groups splits naturally into two cases—those groups that
can be faithfully represented as groups of finitary linear transformations and
those groups that are not finitary linear. This paper completes the finitary
case. We classify up to isomorphism those infinite, locally finite, simple groups
that are finitary linear but not linear.
1. Introduction
2. Tools
3. The examples
4. Representations of finite groups
5. A classification result
6. The division of cases in Theorem 1.1
7. The alternating case
8. The classical case