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- Iterated_monodromy_group abstract "In geometric group theory and dynamical systems the iterated monodromy group of a covering map is a group describing the monodromy action of the fundamental group on all iterations of the covering. A single covering map between spaces is therefore used to create a tower of coverings, by placing the covering over itself repeatedly. In terms of the Galois theory of covering spaces, this construction on spaces is expected to correspond to a construction on groups. The iterated monodromy group provides this construction, and it is applied to encode the combinatorics and symbolic dynamics of the covering, and provide examples of self-similar groups.".
- Iterated_monodromy_group wikiPageExternalLink index.html.
- Iterated_monodromy_group wikiPageExternalLink MonodromyGroup.html.
- Iterated_monodromy_group wikiPageExternalLink item=surv-117.
- Iterated_monodromy_group wikiPageExternalLink 1?skip=0&query_id=02226432472b51fb.
- Iterated_monodromy_group wikiPageID "4649761".
- Iterated_monodromy_group wikiPageLength "3818".
- Iterated_monodromy_group wikiPageOutDegree "33".
- Iterated_monodromy_group wikiPageRevisionID "593261842".
- Iterated_monodromy_group wikiPageWikiLink Amenable_group.
- Iterated_monodromy_group wikiPageWikiLink Automorphism.
- Iterated_monodromy_group wikiPageWikiLink Category:Complex_analysis.
- Iterated_monodromy_group wikiPageWikiLink Category:Geometric_group_theory.
- Iterated_monodromy_group wikiPageWikiLink Category:Homotopy_theory.
- Iterated_monodromy_group wikiPageWikiLink Complex_dynamics.
- Iterated_monodromy_group wikiPageWikiLink Connected_space.
- Iterated_monodromy_group wikiPageWikiLink Covering_space.
- Iterated_monodromy_group wikiPageWikiLink Critical_point_(mathematics).
- Iterated_monodromy_group wikiPageWikiLink Dynamical_system.
- Iterated_monodromy_group wikiPageWikiLink Fundamental_group.
- Iterated_monodromy_group wikiPageWikiLink Geometric_group_theory.
- Iterated_monodromy_group wikiPageWikiLink Group_(mathematics).
- Iterated_monodromy_group wikiPageWikiLink Growth_rate_(group_theory).
- Iterated_monodromy_group wikiPageWikiLink Intermediate_growth.
- Iterated_monodromy_group wikiPageWikiLink Iteration.
- Iterated_monodromy_group wikiPageWikiLink Julia_set.
- Iterated_monodromy_group wikiPageWikiLink Limit_point.
- Iterated_monodromy_group wikiPageWikiLink Monodromy.
- Iterated_monodromy_group wikiPageWikiLink Orbit_(dynamics).
- Iterated_monodromy_group wikiPageWikiLink Post-critical_set.
- Iterated_monodromy_group wikiPageWikiLink Quotient_group.
- Iterated_monodromy_group wikiPageWikiLink Rational_function.
- Iterated_monodromy_group wikiPageWikiLink Riemann_sphere.
- Iterated_monodromy_group wikiPageWikiLink Self-similar_group.
- Iterated_monodromy_group wikiPageWikiLink Symbolic_dynamics.
- Iterated_monodromy_group wikiPageWikiLink Tree_(graph_theory).
- Iterated_monodromy_group wikiPageWikiLinkText "Iterated monodromy group".
- Iterated_monodromy_group wikiPageWikiLinkText "iterated monodromy group".
- Iterated_monodromy_group subject Category:Complex_analysis.
- Iterated_monodromy_group subject Category:Geometric_group_theory.
- Iterated_monodromy_group subject Category:Homotopy_theory.
- Iterated_monodromy_group hypernym Group.
- Iterated_monodromy_group type Band.
- Iterated_monodromy_group type Mapping.
- Iterated_monodromy_group type Page.
- Iterated_monodromy_group comment "In geometric group theory and dynamical systems the iterated monodromy group of a covering map is a group describing the monodromy action of the fundamental group on all iterations of the covering. A single covering map between spaces is therefore used to create a tower of coverings, by placing the covering over itself repeatedly. In terms of the Galois theory of covering spaces, this construction on spaces is expected to correspond to a construction on groups.".
- Iterated_monodromy_group label "Iterated monodromy group".
- Iterated_monodromy_group sameAs Q17098249.
- Iterated_monodromy_group sameAs m.0cfg59.
- Iterated_monodromy_group sameAs Q17098249.
- Iterated_monodromy_group wasDerivedFrom Iterated_monodromy_group?oldid=593261842.
- Iterated_monodromy_group isPrimaryTopicOf Iterated_monodromy_group.