Introduction C. M. Campbell and E. F. Robertson 1. Algorithms for matrix groups E. A. O'Brien 2. Residual properties of 1-relator groups Mark Sapir 3. Words and groups Dan Segal 4. The modular isomorphism problem for the groups of order 512 Bettina Eick and Alexander Konovalov 5. Recent progress in the symmetric generation of groups Ben Fairbairn 6. Discriminating groups: a comprehensive overview Benjamin Fine, Anthony M. Gaglione, Alexei Myasnikov, Gerhard Rosenberger and Dennis Spellman 7. Extending the Kegel-Wielandt theorem through pi-decomposable groups L. S. Kazarin, A. Martinez-Pastor and M. D. Perez-Ramos 8. On the prime graph of a finite group Behrooz Khosravi 9. Applications of Lie rings with finite cyclic grading E. I. Khukhro 10. Pronormal subgroups and transitivity of some subgroup properties Leonid A. Kurdachenko, Javier Otal and Igor Ya. Subbotin 11. On Engel and positive laws O. Macedonska and W. Tomaszewski 12. Maximal subgroups of odd index in finite groups with simple classical socle N. V. Maslova 13. Some classic and nearly classic problems on varieties of groups Peter M. Neumann 14. Generalizations of the Sylow theorem Danila O. Revin and Evgeny P. Vdovin 15. Engel groups Gunnar Traustason 16. Lie methods in Engel groups Michael Vaughan-Lee 17. On the degree of commutativity of p-groups of maximal class A. Vera-Lopez and M. A. Garcia-Sanchez 18. Class preserving automorphisms of finite p-groups: a survey Manoj K. Yadav 19. Symmetric colorings of finite groups Yuliya Zelenyuk.