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Kernel Papers

A subgroup is a subset of a group with its own group structure.

Lagrange’s Theorem: \(\forall G, \forall H \subseteq G\), $$ | H | \(divides\) | G | $$ |

Corollary: For any group \(G\) and strict subgroup \(H \subset G\), $$ | H \leq | G | /2$$ |