Bass–Serre theory

GPTKB entity

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