Preface -- CONTENTS -- List of authors and addresses -- Classification of simple K groups of finite Morley rank and even type geometric aspects -- Curtis Phan Tits theory -- Representation theory of symmetric groups and their double covers -- Coherent configurations association schemes and permutation groups -- Mathematical developments from the analysis of riffle shuffling -- Derangements in simple and primitive groups -- Computing with matrix groups -- A survey of maximal subgroups of exceptional groups of Lie type -- Bases of primitive permutation groups -- Finite groups of local characteristic p: an overview -- Modular subgroup arithmetic -- Counting nets in the monster -- Overgroups of finite quasiprimitive permutation groups -- Old groups can learn new tricks -- Shadows of elements solvability of finite quotients and the Margulis Platonov conjecture -- Applications of random generation to residual properties of some infinite groups -- Low dimensional representations of finite quasisimple groups -- Structure and presentations of Lie type groups -- Vertex stabilizers of locally projective groups of automorphisms of graphs a summary -- Computing in the monster.