Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Cycle_graph_(algebra)> ?p ?o }
- Cycle_graph_(algebra) abstract "In group theory, a sub-field of abstract algebra, a group cycle graph illustrates the various cycles of a group and is particularly useful in visualizing the structure of small finite groups. A cycle is the set of powers of a given group element a, where an, the n-th power of an element a is defined as the product of a multiplied by itself n times. The element a is said to generate the cycle. In a finite group, some non-zero power of a must be the group identity, e; the lowest such power is the order of the cycle, the number of distinct elements in it. In a cycle graph, the cycle is represented as a polygon, with the vertices representing the group elements, and the connecting lines indicating that all elements in that polygon are members of the same cycle.".
- Cycle_graph_(algebra) thumbnail Dihedral_group4_example.png?width=300.
- Cycle_graph_(algebra) wikiPageID "1681010".
- Cycle_graph_(algebra) wikiPageLength "13630".
- Cycle_graph_(algebra) wikiPageOutDegree "90".
- Cycle_graph_(algebra) wikiPageRevisionID "671668483".
- Cycle_graph_(algebra) wikiPageWikiLink Abstract_algebra.
- Cycle_graph_(algebra) wikiPageWikiLink Baby-step_giant-step.
- Cycle_graph_(algebra) wikiPageWikiLink Category:Abstract_algebra.
- Cycle_graph_(algebra) wikiPageWikiLink Category:Application-specific_graphs.
- Cycle_graph_(algebra) wikiPageWikiLink Category:Group_theory.
- Cycle_graph_(algebra) wikiPageWikiLink Cayley_graph.
- Cycle_graph_(algebra) wikiPageWikiLink Class_group.
- Cycle_graph_(algebra) wikiPageWikiLink Cyclic_group.
- Cycle_graph_(algebra) wikiPageWikiLink Daniel_Shanks.
- Cycle_graph_(algebra) wikiPageWikiLink Dicyclic_group.
- Cycle_graph_(algebra) wikiPageWikiLink Dihedral_group.
- Cycle_graph_(algebra) wikiPageWikiLink Dihedral_group_of_order_6.
- Cycle_graph_(algebra) wikiPageWikiLink Direct_product.
- Cycle_graph_(algebra) wikiPageWikiLink Finite_group.
- Cycle_graph_(algebra) wikiPageWikiLink Group_(mathematics).
- Cycle_graph_(algebra) wikiPageWikiLink Group_theory.
- Cycle_graph_(algebra) wikiPageWikiLink Ideal_class_group.
- Cycle_graph_(algebra) wikiPageWikiLink Identity_element.
- Cycle_graph_(algebra) wikiPageWikiLink Involution_(mathematics).
- Cycle_graph_(algebra) wikiPageWikiLink Kaleidoscope.
- Cycle_graph_(algebra) wikiPageWikiLink List_of_small_groups.
- Cycle_graph_(algebra) wikiPageWikiLink Multiplicative_group_of_integers_modulo_n.
- Cycle_graph_(algebra) wikiPageWikiLink Planar_graph.
- Cycle_graph_(algebra) wikiPageWikiLink Prime_number.
- Cycle_graph_(algebra) wikiPageWikiLink Quaternion_group.
- Cycle_graph_(algebra) wikiPageWikiLink Symmetric_group.
- Cycle_graph_(algebra) wikiPageWikiLink V:Symmetric_group_S4.
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- Cycle_graph_(algebra) wikiPageWikiLink File:Symmetric_group_4;_cycle_graph.svg.
- Cycle_graph_(algebra) wikiPageWikiLinkText "Cyc".
- Cycle_graph_(algebra) wikiPageWikiLinkText "Cycle graph (algebra)".
- Cycle_graph_(algebra) wikiPageWikiLinkText "Cycle graphs".
- Cycle_graph_(algebra) wikiPageWikiLinkText "Cycle_graph_(algebra)".
- Cycle_graph_(algebra) wikiPageWikiLinkText "cycle graphs".
- Cycle_graph_(algebra) wikiPageWikiLinkText "cycle group".
- Cycle_graph_(algebra) wikiPageWikiLinkText "cycles".
- Cycle_graph_(algebra) hasPhotoCollection Cycle_graph_(algebra).
- Cycle_graph_(algebra) id "CycleGraph".
- Cycle_graph_(algebra) title "Cycle Graph".
- Cycle_graph_(algebra) wikiPageUsesTemplate Template:By_whom.
- Cycle_graph_(algebra) wikiPageUsesTemplate Template:Citation.
- Cycle_graph_(algebra) wikiPageUsesTemplate Template:Cite_web.