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Concept
Cyclotomic Fields
Cyclotomic fields
are number fields obtained by adjoining a
primitive root of unity
to the
rational numbers
, playing a crucial role in
algebraic number theory
and the study of
Galois groups
. They are instrumental in understanding the
properties of integers
and primes, particularly through their use in
class field theory
and the proof of
Fermat's Last Theorem
.
Relevant Degrees
Algebra 78%
Fundamentals of Mathematics 22%
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