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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 wikiPageRevisionID "606197544".
- Archimedean_group hasPhotoCollection Archimedean_group.
- Archimedean_group subject Category:Ordered_groups.
- Archimedean_group type Abstraction100002137.
- Archimedean_group type Group100031264.
- Archimedean_group type OrderedGroups.
- 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 m.01n4yg.
- Archimedean_group sameAs Q4786884.
- Archimedean_group sameAs Q4786884.
- Archimedean_group sameAs Archimedean_group.
- Archimedean_group wasDerivedFrom Archimedean_group?oldid=606197544.
- Archimedean_group isPrimaryTopicOf Archimedean_group.