Also known as |z|=1, circle group
set of complex numbers whose absolute value is equal 1; Lie group of complex numbers of unit modulus; topologically a circle
Wikidata facts
- Instance of
- compact Lie group
- Subclass of
- complex number
- Followed by
- rotation group SO(3)
- Image
- Circle as Lie group.svg
Show 4 more facts
- has characteristic
- magnitude of a complex number
- studied by
- Lie theory
- maintained by WikiProject
- WikiProject Mathematics
- Commons category
- Complex unit circle
Sources (1)
via Wikidata · CC0
Article · 中文
在數學裡，圓群標記為T，為所有模為1之複數所組成的乘法群，即在複數平面上的單位圓。 圓群為所有非零複數所組成之乘法群C×的子群。由于C×可交換，T也是可交換的。 圓群的符號T源自於Tn（n個T的直積）幾何上是個n-環面的此一事實。而圓群即正是一個1-環面。
Abstract from DBpedia / Wikipedia · CC BY-SA