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- Archimedean_group abstract "In abstract algebra, a branch of mathematics, an Archimedean group is a linearly ordered group for which the Archimedean property holds: every two positive group elements are bounded by integer multiples of each other. The set R of real numbers together with the operation of addition and the usual ordering relation between pairs of numbers is an Archimedean group. By a result of Otto Hölder, every Archimedean group is isomorphic to a subgroup of this group. The name \"Archimedean\" comes from Otto Stolz, who named the Archimedean property after its appearance in the works of Archimedes.".
- Archimedean_group wikiPageID "264169".
- Archimedean_group wikiPageLength "8423".
- Archimedean_group wikiPageOutDegree "40".
- Archimedean_group wikiPageRevisionID "635202762".
- Archimedean_group wikiPageWikiLink Abelian_group.
- Archimedean_group wikiPageWikiLink Abstract_algebra.
- Archimedean_group wikiPageWikiLink Additive_inverse.
- Archimedean_group wikiPageWikiLink Archimedean_property.
- Archimedean_group wikiPageWikiLink Archimedes.
- Archimedean_group wikiPageWikiLink Associative_property.
- Archimedean_group wikiPageWikiLink Cartesian_coordinate_system.
- Archimedean_group wikiPageWikiLink Category:Ordered_groups.
- Archimedean_group wikiPageWikiLink Commutative_property.
- Archimedean_group wikiPageWikiLink Cyclic_group.
- Archimedean_group wikiPageWikiLink Dedekind_cut.
- Archimedean_group wikiPageWikiLink Dyadic_rational.
- Archimedean_group wikiPageWikiLink Finite_group.
- Archimedean_group wikiPageWikiLink Group_(mathematics).
- Archimedean_group wikiPageWikiLink Group_isomorphism.
- Archimedean_group wikiPageWikiLink Hahn_embedding_theorem.
- Archimedean_group wikiPageWikiLink Identity_element.
- Archimedean_group wikiPageWikiLink Integer.
- Archimedean_group wikiPageWikiLink Lexicographical_order.
- Archimedean_group wikiPageWikiLink Linearly_ordered_group.
- Archimedean_group wikiPageWikiLink Mathematics.
- Archimedean_group wikiPageWikiLink Natural_number.
- Archimedean_group wikiPageWikiLink Origin_(mathematics).
- Archimedean_group wikiPageWikiLink Otto_Hölder.
- Archimedean_group wikiPageWikiLink Otto_Stolz.
- Archimedean_group wikiPageWikiLink P-adic_number.
- Archimedean_group wikiPageWikiLink Parity_(mathematics).
- Archimedean_group wikiPageWikiLink Pointwise.
- Archimedean_group wikiPageWikiLink Rational_number.
- Archimedean_group wikiPageWikiLink Real_number.
- Archimedean_group wikiPageWikiLink Subgroup.
- Archimedean_group wikiPageWikiLink Total_order.
- Archimedean_group wikiPageWikiLink Two-dimensional_space.
- Archimedean_group wikiPageWikiLinkText "Archimedean group".
- Archimedean_group wikiPageWikiLinkText "Archimedean linearly ordered group".
- Archimedean_group wikiPageWikiLinkText "Archimedean".
- Archimedean_group wikiPageUsesTemplate Template:Reflist.
- Archimedean_group subject Category:Ordered_groups.
- Archimedean_group type Group.
- Archimedean_group type Group.
- Archimedean_group type Structure.
- Archimedean_group comment "In abstract algebra, a branch of mathematics, an Archimedean group is a linearly ordered group for which the Archimedean property holds: every two positive group elements are bounded by integer multiples of each other. The set R of real numbers together with the operation of addition and the usual ordering relation between pairs of numbers is an Archimedean group. By a result of Otto Hölder, every Archimedean group is isomorphic to a subgroup of this group.".
- Archimedean_group label "Archimedean group".
- Archimedean_group sameAs Q4786884.
- Archimedean_group sameAs m.01n4yg.
- Archimedean_group sameAs Q4786884.
- Archimedean_group wasDerivedFrom Archimedean_group?oldid=635202762.
- Archimedean_group isPrimaryTopicOf Archimedean_group.