On the Feit-Thompson conjecture
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- by N. M. Stephens PDF
- Math. Comp. 25 (1971), 625 Request permission
Abstract:
A counterexample is found to the conjecture that $({p^q} - 1)/(p - 1)$ and $({q^p} - 1)/(q - 1)$ are coprime where p, q are primes.References
- Walter Feit and John G. Thompson, A solvability criterion for finite groups and some consequences, Proc. Nat. Acad. Sci. U.S.A. 48 (1962), 968–970. MR 143802, DOI 10.1073/pnas.48.6.968
- K. E. Kloss, Some number-theoretic calculations, J. Res. Nat. Bur. Standards Sect. B 69B (1965), 335–336. MR 190057
Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Math. Comp. 25 (1971), 625
- MSC: Primary 10A10
- DOI: https://doi.org/10.1090/S0025-5718-1971-0297686-1
- MathSciNet review: 0297686