Excuse me, could you please clarify for me if the group denoted as d4 is indeed not abelian? I understand that in mathematics, an abelian group is one in which the group operation is commutative, meaning that the order of the elements being operated on does not affect the result. So, in the context of d4, which I assume refers to the dihedral group of order 4, is it the case that the multiplication of its elements does not satisfy this commutative property? I'm curious to know if there's a specific reason why d4 is not considered an abelian group.
5 answers
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Fri Aug 16 2024
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Thu Aug 15 2024
The non-abelian nature of certain groups, such as D4, highlights the complexity of certain operations in mathematics and, by extension, in the world of cryptocurrency and finance. Just as a rotation followed by a reflection in D4 yields a different result from a reflection followed by a rotation, the order of operations in cryptocurrency transactions can also have significant implications.