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Herstein by 너굴 is a document available to read on EtoBox.

What is Herstein about?

The document proves that if a group G has an even order, it must contain an element a not equal to the identity e such that a squared is equal to e. It first states that a squared equals e if and only if a is its own inverse. It then assumes for the sake of contradiction that no such a exists. This would imply that the non-identity elements could be paired with their inverses, making the total number of elements odd rather than even as assumed. Therefore, some a not equal to e must satisfy a squared equals

Author

너굴

Language

EN