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Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.98.

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Verifying a conjecture of L. Rédei for $p=13$
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by Sándor Szabó PDF
Math. Comp. 80 (2011), 1155-1162 Request permission

Abstract:

In 1970 L. Rédei conjectured that if an elementary $p$-group $G$ of order $p^3$ is a direct product of its subsets $A$ and $B$ such that both $A$ and $B$ contain the identity element of $G$, then at least one of the factors $A$ and $B$ cannot span the whole $G$. We will verify this conjecture for $p=13$.
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Additional Information
  • Sándor Szabó
  • Affiliation: Institute of Mathematics and Informatics, University of Pécs, Ifjúság u. 6, 7624 Pécs, Hungary
  • Email: sszabo7@hotmail.com
  • Received by editor(s): September 1, 2009
  • Received by editor(s) in revised form: February 4, 2010
  • Published electronically: September 17, 2010
  • © Copyright 2010 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Math. Comp. 80 (2011), 1155-1162
  • MSC (2010): Primary 20K01; Secondary 05B45, 52C22, 68R05
  • DOI: https://doi.org/10.1090/S0025-5718-2010-02417-2
  • MathSciNet review: 2772117