I found a relation while studying elliptic curves, I could not understand its' meaning. $E[n]$ is a $n$-torsion subgroup then $E[n]\cong Z/nZ \oplus Z/nZ$, What does this $\oplus$ symbol mean? Thanks in advance
2026-04-05 22:34:20.1775428460
Meaning of this expression
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It's a direct sum, i.e. the elements in the products with finitely many non-zero coefficients.
For finite sums this requirement is trivially satisfied, i.e. $G\oplus G = G \times G$