Cryptocurrency Q&A Is d4 not abelian?

Is d4 not abelian?

Lucia Lucia Wed Aug 14 2024 | 5 answers 1404
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. Is d4 not abelian?

5 answers

HallyuHeroLegendaryStarShine HallyuHeroLegendaryStarShine Fri Aug 16 2024
Cryptocurrency and finance are intertwined domains that have garnered significant attention in recent years. The rapid evolution of digital currencies has not only disrupted traditional financial systems but also introduced new opportunities and challenges for investors and practitioners alike.

Was this helpful?

320
21
Nicola Nicola Fri Aug 16 2024
One of the key aspects of cryptocurrency is its decentralized nature, which allows for secure and transparent transactions without the need for intermediaries. This characteristic has made cryptocurrencies attractive for individuals and businesses seeking to bypass traditional banking systems or engage in cross-border transactions.

Was this helpful?

200
89
ZenHarmonious ZenHarmonious Fri Aug 16 2024
However, the decentralized nature of cryptocurrencies also poses unique challenges. For instance, the lack of a central authority makes it difficult to regulate and enforce laws related to cryptocurrency transactions. This has led to concerns about money laundering, tax evasion, and other illegal activities.

Was this helpful?

282
80
Ilaria Ilaria Fri Aug 16 2024
BTCC, a leading cryptocurrency exchange, offers a range of services to cater to the diverse needs of cryptocurrency enthusiasts. Its services include spot trading, futures trading, and wallet management, among others. These services enable users to buy, sell, and trade cryptocurrencies securely and efficiently.

Was this helpful?

326
59
Riccardo Riccardo 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.

Was this helpful?

276
31

|Topics at Cryptocurrency Q&A

Get the BTCC app to start your crypto journey

Get started today Scan to join our 100M+ users

The World's Leading Crypto Trading Platform

Get my welcome gifts