Statements (55)
| Predicate | Object |
|---|---|
| gptkbp:instance_of |
gptkb:musical_group
|
| gptkbp:bfsLayer |
4
|
| gptkbp:bfsParent |
gptkb:Thompson_group
|
| gptkbp:connects |
the theory of ordinals
|
| gptkbp:example |
a finitely presented group
a group with a complicated representation theory a group with a rich subgroup structure |
| gptkbp:focus |
the field of algebraic topology
|
| gptkbp:has_expansion |
other groups
|
| gptkbp:has_member |
gptkb:Thompson's_group_V
gptkb:free_group |
| gptkbp:has_programs |
gptkb:television_channel
|
| https://www.w3.org/2000/01/rdf-schema#label |
Thompson's group F
|
| gptkbp:introduced |
gptkb:Richard_Thompson
|
| gptkbp:is_a |
gptkb:musical_group
topological group |
| gptkbp:is_analyzed_in |
its action on the Cantor set
|
| gptkbp:is_connected_to |
dynamical systems
the study of algebraic structures the concept of growth rates the theory of dynamical systems |
| gptkbp:is_considered_as |
gptkb:theorem
|
| gptkbp:is_discussed_in |
the concept of complexity in groups
|
| gptkbp:is_known_for |
non-linear dynamics
applications in computer science being finitely generated complexity in classification interesting actions on sets non-trivial center unique properties among groups. |
| gptkbp:is_often_associated_with |
gptkb:F
|
| gptkbp:is_often_compared_to |
gptkb:Thompson's_group_V
|
| gptkbp:is_related_to |
the study of symmetry
the study of fractals piecewise linear homeomorphisms the theory of automorphisms automorphisms of the Cantor set the theory of infinite groups |
| gptkbp:is_represented_in |
homeomorphisms of the unit interval
|
| gptkbp:is_studied_in |
abstract algebra
algebraic topology homotopy theory group actions geometric topology computational group theory applications in physics |
| gptkbp:is_used_in |
geometric group theory
|
| gptkbp:key |
a simple group
the study of group actions on trees |
| gptkbp:members |
the family of Thompson groups
|
| gptkbp:presented_by |
generators and relations
|
| gptkbp:social_structure |
subgroups
|
| gptkbp:subject |
theoretical computer science
mathematical logic |
| gptkbp:type_of |
infinite group
|