Download Fermat`s Last Theorem for regular primes

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Transcript
Supervisors Project Submission Form
Supervisor:
M D Coleman
1
Project Title
Fermat's Last Theorem for regular primes.
2
Category
Pure
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Level
3/4
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Semesters
2
5
Description
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References
Follow Stewart and Tall's book (preferably the 3rd edition,
though the 2nd will suffice) to prove Kummer's special case of
Fermat's Last Theorem when the exponent n in x^n + y^n =
z^n is a “regular" prime.
Looking at the chapter headings in the main reference [1] we
find Algebraic numbers, quadratic and cyclotomic number
fields, factorization, ideals, Minkowski's Theorem, Class-goups
and class numbers. Only a selection of these topics will be
covered in detail.
1. Stewart, I.N. and Tall, D.O. Algebraic Number Theory,
Chapman and Hall [In the 3rd edition the main result is
Theorem 11.4.]
2. Edwards, H.M. Fermat's Last Theorem, Springer-Verlag,
Graduate Texts in Mathematics 50. [Up to Chapter 5].
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Prerequisite courses
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Additional notes