Welsch, Cora: On coset posets, nerve complexes and subgroup graphs of finitely generated groups. 2018
Inhalt
- Notation
- Introduction
- I Finite simplicial complexes
- II Subgroup graphs
- Subgroup graphs of subgroups of free groups
- Subgroup graphs of finite index subgroups of finitely generated groups
- Applications of subgroup graphs of finite index subgroups
- III (Finite index) coset poset of finitely generated infinite groups
- Contractible finite index coset poset
- Method
- Examples
- Infinitely many normal maximal subgroups
- Infinitely many prime index subgroups
- Infinitely many prime power index subgroups
- Inheritance
- Non-contractible finite index coset poset
- Coset poset
- Appendix