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Factoring elementary groups of prime cube order into subsets |
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| Authors: | Sá ndor Szabó Coburn Ward |
| Institution: | Department of Mathematics, University of Bahrain, ISA Town, State of Bahrain ; Department of Mathematics, University of the Pacific, Stockton, California 95211 |
| Abstract: | Let  be a prime and let  be the  -fold direct product of the cyclic group of order  . Rédei conjectured if  is the direct product of subsets  and  , each of which contains the identity element of  , then either  or  does not generate all of  . The paper verifies Rédei's conjecture for  . |
| Keywords: | Factorization of groups Latin squares |
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