Homework Help: Math

Posted by Anonymous on Saturday, October 13, 2012 at 11:51pm.

if n=45, calculate the number of cosets of An in Sn .

Math - Reiny, Sunday, October 14, 2012 at 12:53am
Your question makes no sense to me.
Math - Anonymous, Sunday, October 14, 2012 at 1:11am
I'm not really sure about this, but I'll give it a go. By the way, what do you mean by cosets?

n=45

Solving for the number of (costs?) of An in Sn.

A45= S45

This is the most I can simplify it down to. If you post the full question from wherever you're getting it from, I may just be able to help.
Math - Annoymous, Tuesday, October 16, 2012 at 9:45am
Answer is 2..

From Lagrange's Theorem, we know that the number of cosets in An in Sn is [Sn:An] = |Sn|/|An| = 2

Note An = n!/2 = |Sn|/2

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