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March 2012 The example by Stephens
Kaoru Motose
Proc. Japan Acad. Ser. A Math. Sci. 88(3): 35-37 (March 2012). DOI: 10.3792/pjaa.88.35


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.


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Kaoru Motose. "The example by Stephens." Proc. Japan Acad. Ser. A Math. Sci. 88 (3) 35 - 37, March 2012.


Published: March 2012
First available in Project Euclid: 5 March 2012

zbMATH: 1293.11003
MathSciNet: MR2908620
Digital Object Identifier: 10.3792/pjaa.88.35

Primary: 11A07
Secondary: 20D05

Keywords: Artin map , common index divisor , Odd order theorem

Rights: Copyright © 2012 The Japan Academy

Vol.88 • No. 3 • March 2012
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