An application of Lagrange's Theorem. Let n E N. Let E, be the subset of Z,,...

Transcribed Image Text:

An application of Lagrange's Theorem. Let n E N. Let E, be the subset of Z,, defined by {[21]: i Z}. For instance, E6 = {[0], [2], [4]}, and E ={[0], [2], [4]}. Prove that E, is a subgroup of Zn if and only if n is even. An application of Lagrange's Theorem. Let n E N. Let E, be the subset of Z,, defined by {[21]: i Z}. For instance, E6 = {[0], [2], [4]}, and E ={[0], [2], [4]}. Prove that E, is a subgroup of Zn if and only if n is even.

Answer rating: 100% (QA)

To prove that En is a subgroup of Zn if and only if n is even we can use Lagranges theorem which sta... View the full answer