Proc. Japan Acad. Ser. A Math. Sci. 88 (3), 35-37, (March 2012) DOI: 10.3792/pjaa.88.35
KEYWORDS: Odd order theorem, Artin map, common index divisor, 11A07, 20D05
Concerning the Feit-Thompson conjecture, Stephens found an example for primes 17 and 3313. In this paper, using the Artin map, these primes are common index divisors of subfields of a cyclotomic field, and some results in [7,8] shall be again proved.