(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

G is a group. H is a subgroup.

lHl= order of H

lGl=order of G

[G]=Number of cosets

Counting Formula

lGl = lHl [G]

I have a question of clarification about this formula. My book says that [G]=number of cosets.

The problem is that at this point in my book they haven't defined right cosests yet so I wasn't sure if

[G]= The sum of the rights cosests and left cosets?

or

[G]= Just the left cosets?

Thank you.

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# Homework Help: Counting Formula Clarification (Groups/Cosets)

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