This volume contains the proceedings of the NATO Advanced Study
Institute on Finite and Locally Finite Groups held in Istanbul, Turkey,
14-27 August 1994, at which there were about 90 participants from some
16 different countries. The ASI received generous financial support from
the Scientific Affairs Division of NATO. INTRODUCTION A locally finite
group is a group in which every finite set of elements is contained in a
finite subgroup. The study of locally finite groups began with Schur's
result that a periodic linear group is, in fact, locally finite. The
simple locally finite groups are of particular interest. In view of the
classification of the finite simple groups and advances in
representation theory, it is natural to pursue classification theorems
for simple locally finite groups. This was one of the central themes of
the Istanbul conference and significant progress is reported herein. The
theory of simple locally finite groups intersects many areas of group
theory and representation theory, so this served as a focus for several
articles in the volume. Every simple locally finite group has what is
known as a Kegel cover. This is a collection of pairs {(G, Ni) liE I},
where I is an index set, each group Gi is finite, i Ni