Frontmatter

Chapters in this book

1. Frontmatter I
2. Introduction V
3. Conference booklet and talks VII
4. Remembrances of Gilbert XI
5. Contents XXIX
6. Explicit universal axioms for Kaplansky groups 1
7. Isoperimetric and isodiametric functions of group extensions 7
8. The homology of groups, profinite completions, and echoes of Gilbert Baumslag 11
9. Some properties of the Baumslag groups G(m, n) 29
10. Some model theory of the Heisenberg group: I. Unitriangular representations of models of a subtheory of its universal theory 33
11. Some model theory of the Heisenberg group: II. The three generator case 47
12. On vector-valued Hecke forms 53
13. Two algorithms in group theory 73
14. On products of closed subsets in free groups 81
15. Misbehaved direct products 85
16. A survey on Albert algebras and groups of type F₄ 89
17. Perspectives on p-ary bent functions 103
18. Multilinear cryptography using nilpotent groups 127
19. Musings on generic-case complexity 135
20. Noncommutative Gebauer–Möller criteria 149
21. On the numbers of the form x² + 11y² 177
22. Separability properties of nilpotent ℚ[x]-powered groups 203
23. Infinite nested radicals 219
24. Commutative transitivity property in groups and Lie algebras 225
25. Simplicial subdivisions and the chromatic number of a group 233