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October 2010 Notes to the Feit-Thompson conjecture. II
Kaoru Motose
Proc. Japan Acad. Ser. A Math. Sci. 86(8): 131-132 (October 2010). DOI: 10.3792/pjaa.86.131

Abstract

Feit and Thompson conjectured for distinct primes $p < q$ that $(q^{p}-1)/(q-1)$ never divides $(p^{q}-1)/(p-1)$. This paper is a record on partial solutions to this conjecture for small primes 3 and 5.

Citation

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Kaoru Motose. "Notes to the Feit-Thompson conjecture. II." Proc. Japan Acad. Ser. A Math. Sci. 86 (8) 131 - 132, October 2010. https://doi.org/10.3792/pjaa.86.131

Information

Published: October 2010
First available in Project Euclid: 4 October 2010

zbMATH: 1229.11004
MathSciNet: MR2494591
Digital Object Identifier: 10.3792/pjaa.86.131

Subjects:
Primary: 11A07 , 20D05

Keywords: Eisenstein reciprocity , Odd order theorem , power residue symbol

Rights: Copyright © 2010 The Japan Academy

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Vol.86 • No. 8 • October 2010
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