Skip to Main Content

Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

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

The 2020 MCQ for Mathematics of Computation is 1.78.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Factoring elementary groups of prime cube order into subsets
HTML articles powered by AMS MathViewer

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
  • C. J. Everett Jr., Annihilator ideals and representation iteration for abstract rings, Duke Math. J. 5 (1939), 623–627. MR 13
  • L. Lovász and A. Schrijver, Remarks on a theorem of Rédei, Studia Sci. Math. Hungar. 16 (1983), no. 3-4, 449–454. MR 729307
  • L. Rédei, Die neue Theorie der endlichen abelschen Gruppen und Verallgemeinerung des Hauptsatzes von Hajós, Acta Math. Acad. Sci. Hungar. 16 (1965), 329–373 (German, with Russian summary). MR 186729, DOI 10.1007/BF01904843
  • L. Rédei, Lacunary polynomials over finite fields, North-Holland Publishing Co., Amsterdam-London; American Elsevier Publishing Co., Inc., New York, 1973. Translated from the German by I. Földes. MR 0352060
  • A. D. Sands, On a conjecture of G. Hajós, Glasgow Math. J. 15 (1974), 88–89. MR 376903, DOI 10.1017/S0017089500002202
Similar Articles
  • Retrieve articles in Mathematics of Computation with MSC (1991): 20K01, 52C22
  • Retrieve articles in all journals with MSC (1991): 20K01, 52C22
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