Statements (24)
Predicate | Object |
---|---|
gptkbp:instanceOf |
gptkb:logic
|
gptkbp:appliesTo |
gptkb:HNN_extensions
amalgamated free products |
gptkbp:describes |
structure of groups as fundamental groups of graphs of groups
|
gptkbp:field |
geometric group theory
group theory |
gptkbp:hasApplication |
gptkb:topology
combinatorial group theory |
gptkbp:hasConcept |
fundamental group of a graph of groups
graph of groups group action on a tree |
gptkbp:hasKeyword |
every group acting without inversion on a tree is the fundamental group of a graph of groups
structure theorem for groups acting on trees |
https://www.w3.org/2000/01/rdf-schema#label |
Bass–Serre theory
|
gptkbp:introducedIn |
1977
|
gptkbp:namedAfter |
gptkb:Jean-Pierre_Serre
gptkb:Hyman_Bass |
gptkbp:publishedIn |
gptkb:Trees_(Serre,_1980)
|
gptkbp:relatedTo |
gptkb:fundamental_group
gptkb:tree_(graph_theory) group action |
gptkbp:studies |
groups acting on trees
|
gptkbp:bfsParent |
gptkb:modular_group
|
gptkbp:bfsLayer |
5
|