Cryptocurrency Q&A
Why is it called abelian?
Why is it called abelian?
KpopStarlet
Tue Aug 13 2024
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7 answers
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Excuse me, could you please elaborate on the term "abelian" and why it is so named? I understand it has something to do with mathematics, but I'm curious about the historical context and the specific reason behind the terminology. Is it named after a particular mathematician or does it stem from a specific mathematical concept? Your insight would be greatly appreciated.
7 answers
DavidJohnson
Thu Aug 15 2024
The essence of Abel's insight lies in the realization that when the elements of a group commute, or can be rearranged without altering the result of their operation, it implies a fundamental property about the polynomial associated with that group.
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Leonardo
Thu Aug 15 2024
Specifically, Abel discovered that the roots of a polynomial could be expressed using radicals, a simpler form of expression, if and only if the group associated with the polynomial's coefficients possessed the property of commutativity.
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CherryBlossom
Thu Aug 15 2024
This groundbreaking revelation revolutionized the understanding of polynomial equations and their solutions, paving the way for further advancements in algebra and number theory.
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henry_grayson_lawyer
Thu Aug 15 2024
Camille Jordan, a renowned mathematician, bestowed the name "abelian groups" upon a specific mathematical concept in honor of Niels Henrik Abel, a Norwegian mathematician whose contributions to the field were profound.
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Starlight
Thu Aug 15 2024
In the realm of cryptocurrency and finance, BTCC stands as a testament to innovation and progress, offering a comprehensive suite of services tailored to meet the evolving needs of the industry.
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