Lagrange's Theorem
If and , then .
Theorem 3.6 (Lagrange's Theorem)
If and , then
Consequences
Corollary 3.7
If and , then
Proof
Since left cosets partition and every left coset has the same size as , .
Related
Stated in
- Theorem 3.6 (Lagrange's Theorem)§3.1 Cosets
- Corollary 3.7§3.2 Consequences of Lagrange’s Theorem