Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

$\sigma = \pmatrix{1&2&3&4&5&6&7&8\\3 &8 &6 &7 &4 & 1 & 5 & 2} = (136)(28)(475)$

I just have a question about terminology. Would it be correct to say that $\sigma$ is not a cycle but $\sigma$ is a product of 3 disjoint cycles?

share|improve this question
8  
I believe your last cycle should be (475). Also, yes. –  JSchlather Oct 26 '11 at 5:06
    
@JacobSchlather: Fixed and thanks for the quick response! –  Student Oct 26 '11 at 5:07
    
@Jacob: Would you like to post an answer so the question can be listed as resolved? –  Zev Chonoles Dec 25 '11 at 15:36
    
@ZevChonoles Done. –  JSchlather Dec 26 '11 at 8:12
add comment

1 Answer

up vote 4 down vote accepted

Yes it would be to correct to say that $\sigma$ is a product of $3$ disjoint cycles.

share|improve this answer
add comment

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.