Surveys areas of current research activity in a wide range of group theory and related areas.

Introduction C. M. Campbell and E. F. Robertson; A speech in honour of John Cannon and Derek Holt Charles Leedham-Green; 1. Finite groups of Lie type and their representations Gerhard Hiss; 2. Iterated monodromy groups Volodymyr Nekrashevych; 3. Engel elements in groups Alireza Abdollahi; 4. Some classes of finite semigroups with kite-like egg-boxes of D-classes K. Ahmadidelir and H. Doostie; 5. Structure of finite groups having few conjugacy class sizes Antonio Beltrán and María José Felipe; 6. Group theory in cryptography Simon R. Blackburn, Carlos Cid and Ciaran Mullan; 7. A survey of recent results in groups and orderings: word problems, embeddings and amalgamations V. V. Bludov and A. M. W. Glass; 8. A survey on the minimum genus and maximum order problems for bordered Klein surfaces E. Bujalance, F. J. Cirre, J. J. Etayo, G. Gromadzki and E. Martínez; 9. On one-relator quotients of the modular group Marston Conder, George Havas and M. F. Newman; 10. Miscellaneous results on supersolvable groups K. Corrádi, P. Z. Hermann, L. Héthelyi and E. Horváth; 11. Automorphisms of products of finite groups M. John Curran; 12. A rational property of the irreducible characters of a finite group M. R. Darafsheh, A. Iranmanesh and S. A. Moosavi; 13. Automotives Marian Deaconescu and Gary Walls; 14. On n-abelian groups and their generalizations Costantino Delizia and Antonio Tortora; 15. Computing with matrix groups over infinite fields A. S. Detinko, B. Eick and D. L. Flannery; 16. Trends in infinite dimensional linear groups Martyn R. Dixon, Leonid A. Kurdachenko, Jose M. Muñoz-Escolano and Javier Otal; 17. Engel conditions on orderable groups and in combinatorial problems (a survey) Marcel Herzog, Patrizia Longobardi and Mercede Maj.