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Simplicial subdivisions and the chromatic number of a group
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Leonard Wienke
Abstract
We give an overview on simplicial subdivision theory and its role in current research. We then specialize to chromatic subdivisions and define the notion of chromatic groups. We state conjectures and open problems concerning the topics involved.
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Abstract
We give an overview on simplicial subdivision theory and its role in current research. We then specialize to chromatic subdivisions and define the notion of chromatic groups. We state conjectures and open problems concerning the topics involved.
Sie haben derzeit keinen Zugang zu diesem Inhalt.
Kapitel in diesem Buch
- Frontmatter I
- Introduction V
- Conference booklet and talks VII
- Remembrances of Gilbert XI
- Contents XXIX
- Explicit universal axioms for Kaplansky groups 1
- Isoperimetric and isodiametric functions of group extensions 7
- The homology of groups, profinite completions, and echoes of Gilbert Baumslag 11
- Some properties of the Baumslag groups G(m, n) 29
- Some model theory of the Heisenberg group: I. Unitriangular representations of models of a subtheory of its universal theory 33
- Some model theory of the Heisenberg group: II. The three generator case 47
- On vector-valued Hecke forms 53
- Two algorithms in group theory 73
- On products of closed subsets in free groups 81
- Misbehaved direct products 85
- A survey on Albert algebras and groups of type F4 89
- Perspectives on p-ary bent functions 103
- Multilinear cryptography using nilpotent groups 127
- Musings on generic-case complexity 135
- Noncommutative Gebauer–Möller criteria 149
- On the numbers of the form x2 + 11y2 177
- Separability properties of nilpotent ℚ[x]-powered groups 203
- Infinite nested radicals 219
- Commutative transitivity property in groups and Lie algebras 225
- Simplicial subdivisions and the chromatic number of a group 233
Kapitel in diesem Buch
- Frontmatter I
- Introduction V
- Conference booklet and talks VII
- Remembrances of Gilbert XI
- Contents XXIX
- Explicit universal axioms for Kaplansky groups 1
- Isoperimetric and isodiametric functions of group extensions 7
- The homology of groups, profinite completions, and echoes of Gilbert Baumslag 11
- Some properties of the Baumslag groups G(m, n) 29
- Some model theory of the Heisenberg group: I. Unitriangular representations of models of a subtheory of its universal theory 33
- Some model theory of the Heisenberg group: II. The three generator case 47
- On vector-valued Hecke forms 53
- Two algorithms in group theory 73
- On products of closed subsets in free groups 81
- Misbehaved direct products 85
- A survey on Albert algebras and groups of type F4 89
- Perspectives on p-ary bent functions 103
- Multilinear cryptography using nilpotent groups 127
- Musings on generic-case complexity 135
- Noncommutative Gebauer–Möller criteria 149
- On the numbers of the form x2 + 11y2 177
- Separability properties of nilpotent ℚ[x]-powered groups 203
- Infinite nested radicals 219
- Commutative transitivity property in groups and Lie algebras 225
- Simplicial subdivisions and the chromatic number of a group 233
