An Entity of Type : yago:WikicatOrderedGroups,
within Data Space : dbpedia.org associated with source document(s)

In mathematics, a cyclically ordered group is a set with both a group structure and a cyclic order, such that left and right multiplication both preserve the cyclic order. Cyclically ordered groups were first studied in depth by Ladislav Rieger in 1947. They are a generalization of cyclic groups: the infinite cyclic group Z and the finite cyclic groups Z/n. Since a linear order induces a cyclic order, cyclically ordered groups are also a generalization of linearly ordered groups: the rational numbers Q, the real numbers R, and so on. Some of the most important cyclically ordered groups fall into neither previous category: the circle group T and its subgroups, such as the subgroup of rational points.

Faceted Search & Find service v1.17_git21 as of Mar 09 2019

OpenLink Virtuoso version 07.20.3230 as of Apr 1 2019, on Linux (x86_64-generic-linux-glibc25), Single-Server Edition (61 GB total memory)

Data on this page belongs to its respective rights holders.

Virtuoso Faceted Browser Copyright © 2009-2019 OpenLink Software

OpenLink Virtuoso version 07.20.3230 as of Apr 1 2019, on Linux (x86_64-generic-linux-glibc25), Single-Server Edition (61 GB total memory)

Data on this page belongs to its respective rights holders.

Virtuoso Faceted Browser Copyright © 2009-2019 OpenLink Software