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#1 2012-11-28 20:41:50
- princess snowwhite
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- Registered: 2012-11-06
- Posts: 29
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
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#2 2012-11-30 00:57:14
- scientia
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- Registered: 2009-11-13
- Posts: 224
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 00:57:51)
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