Counting Formula Clarification (Groups/Cosets)

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    Counting Formula
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Homework Statement




G is a group. H is a subgroup.
lHl= order of H
lGl=order of G
[G:H]=Number of cosets

Counting Formula
lGl = lHl [G:H]


I have a question of clarification about this formula. My book says that [G:H]=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:H]= The sum of the rights cosests and left cosets?

or

[G:H]= Just the left cosets?


Thank you.
 
on Phys.org
Just the number of left cosets which is equal to the number of right cosets.
 
Thank you, HallsofIvy.
 

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