Factoring elementary groups of prime cube order into subsets
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- by Sándor Szabó and Coburn Ward PDF
- Math. Comp. 67 (1998), 1199-1206 Request permission
Abstract:
Let $p$ be a prime and let $G$ be the $3$-fold direct product of the cyclic group of order $p$. Rédei conjectured if $G$ is the direct product of subsets $A$ and $B$, each of which contains the identity element of $G$, then either $A$ or $B$ does not generate all of $G$. The paper verifies Rédei’s conjecture for $p\leq 11$.References
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Additional Information
- Sándor Szabó
- Affiliation: Department of Mathematics, University of Bahrain, ISA Town, State of Bahrain
- Address at time of publication: General Science and Mathematics Department, College of Health Sciences, Manama, State of Bahrain
- Coburn Ward
- Affiliation: Department of Mathematics, University of the Pacific, Stockton, California 95211
- Email: cward@uop.edu
- Received by editor(s): June 17, 1994
- Received by editor(s) in revised form: January 23, 1997
- © Copyright 1998 American Mathematical Society
- Journal: Math. Comp. 67 (1998), 1199-1206
- MSC (1991): Primary 20K01; Secondary 52C22
- DOI: https://doi.org/10.1090/S0025-5718-98-00929-6
- MathSciNet review: 1451328