Robert Osburn
Abstract
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We use a result of Thaine to give an alternative proof of the fact that, for a prime p>3 congruent to 3 modulo 4, the component e(p+1)/2 of the p-Sylow subgroup of the ideal class group of ℚ(ζp) is trivial.
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We use a result of Thaine to give an alternative proof of the fact that, for a prime p>3 congruent to 3 modulo 4, the component e(p+1)/2 of the p-Sylow subgroup of the ideal class group of ℚ(ζp) is trivial.
Key concepts: Mathematics, Sylow theorems, Modulo, Prime (order theory), Ideal (ethics), Ideal class group, Combinatorics, Class (philosophy)