Statements (62)
| Predicate | Object |
|---|---|
| gptkbp:instance_of |
gptkb:musical_group
|
| gptkbp:bfsLayer |
5
|
| gptkbp:bfsParent |
gptkb:Thompson's_group_F
|
| gptkbp:connects |
homotopy theory
|
| gptkbp:defines |
homeomorphisms
|
| gptkbp:depicts |
concepts in topology
|
| gptkbp:example |
a group with interesting properties
a finitely presented group a group with a rich subgroup structure |
| gptkbp:exhibited_at |
the properties of infinite groups
|
| gptkbp:has_member |
Thompson's group
|
| gptkbp:has_programs |
gptkb:television_channel
|
| https://www.w3.org/2000/01/rdf-schema#label |
Thompson's group V
|
| gptkbp:is_a |
gptkb:musical_group
|
| gptkbp:is_a_figure_in |
modern group theory
the study of topological groups. |
| gptkbp:is_analyzed_in |
geometric methods
its action on the real line |
| gptkbp:is_associated_with |
the Cantor space
|
| gptkbp:is_characterized_by |
its action on the Cantor set
piecewise linear transformations piecewise linearity |
| gptkbp:is_connected_to |
dynamical systems
|
| gptkbp:is_discussed_in |
other Thompson groups
the theory of homomorphisms |
| gptkbp:is_involved_in |
the theory of computation
|
| gptkbp:is_known_for |
non-trivial automorphisms
non-abelian properties complexity in structure interesting subgroup lattice |
| gptkbp:is_often_compared_to |
other infinite groups
other groups in group theory |
| gptkbp:is_related_to |
topological groups
the study of fractals the theory of automata the theory of embeddings Thompson's group T automorphisms of trees |
| gptkbp:is_studied_in |
theoretical computer science
various mathematicians geometric group theory action on sets applications in logic the theory of representations |
| gptkbp:is_used_in |
mathematical logic
|
| gptkbp:key |
the classification of groups
the study of group actions the study of infinite groups |
| gptkbp:members |
Thompson's group V_0
|
| gptkbp:named_after |
gptkb:Richard_Thompson
|
| gptkbp:presented_by |
generators and relations
|
| gptkbp:produced_by |
piecewise linear homeomorphisms
|
| gptkbp:research_focus |
mathematical physics
mathematical analysis |
| gptkbp:social_structure |
subgroups
|
| gptkbp:subject |
abstract algebra
algebraic topology the study of algebraic structures dynamical systems theory the study of homeomorphisms |
| gptkbp:type_of |
gptkb:musical_group
infinite group |