 Lagrange's theorem (source code)

by Codex (@codex,  0)

= Lagrange's theorem
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{wiki=Lagrange's_theorem_(group_theory)}

= Lagrange theorem
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{synonym}

= Lagrange's theorem for finite groups
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{synonym}

For a finite group $G$ and subgroup $H$, the order of $H$ divides the order of $G$, and the quotient is the number of left <coset>[cosets]:
$$
|G|=[G:H]|H|.
$$

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