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6: Cosets and Lagrange's Theorem

Last updated

Sep 7, 2021
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- 5.6: Sage Exercises
- 6.1: Cosets

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Lagrange's Theorem, one of the most important results in finite group theory, states that the order of a subgroup must divide the order of the group. This theorem provides a powerful tool for analyzing finite groups; it gives us an idea of exactly what type of subgroups we might expect a finite group to possess. Central to understanding Lagranges's Theorem is the notion of a coset.

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