Math Is Fun Forum
  Discussion about math, puzzles, games and fun.   Useful symbols: √ ∞ ≠ ≤ ≥ ≈ ⇒ ∈ Δ θ ∴ ∑ ∫ π -

Login

Username

Password

Not registered yet?

#1 2012-11-29 19:41:50

princess snowwhite
Member

Offline

order of a cyclick group

Which of the following statements is false?
a>any abelian group of order 27 is cyclic
b>any abelian group of order 14 is cyclic
c>any abelian group of order 21 is cyclic
d>any abelian group of order 30 is cyclic

#2 2012-11-30 23:57:14

scientia
Full Member

Offline

Re: order of a cyclick group

(a) is false. For example



is a non-cyclic Abelian group of order 27. It' s not cyclic because every non-identity element has order 3.

Last edited by scientia (2012-11-30 23:57:51)

Board footer

Powered by FluxBB