Home › TS EAPCET (Engineering) › Mathematics › De Moivre's Formula › Under multiplication, the roots of unity form wh…
Under multiplication, the roots of unity form which kind of structure?
AAn abelian group
BA vector space
CAn additive field
DA non-abelian group
Answer & Solution
Correct answer: A. An abelian group
Products and inverses of roots of unity are again roots of unity, and multiplication commutes.
Related questions
If ω is a non-real cube root of unity, (1 + ω)³ equalsFor a cube root of unity ω, the value of 1 + ω² + ω⁴ isIf a complex number z has modulus 2, the modulus of z⁵ isDe Moivre's formula can be derived from the exponential law together with which result?By Euler's formula, e^(iπ) equalsAdjacent sixth roots of unity differ in argument byThe principal fourth root of -1 has argumentThe three cube roots of 8 in the complex plane are