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Rank Properties in Finite Semigroups II: The Small Rank and the Large Rank

✍ Scribed by John M. Howie; Maria Isabel Marques Ribeiro

Publisher: Springer
Year: 2000
Weight: 49 KB
Volume: 24
Category: Article
ISSN: 0129-2021
DOI: 10.1007/s10012-000-0231-2

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Let M be a random n = n -matrix over GF q such that for each entry M in i j w x Ž . M and for each nonzero field element ␣ the probability Pr M s ␣ is pr q y 1 , where i j ## Ž . p slog n y c rn and c is an arbitrary but fixed positive constant. The probability for a Ž . matrix entry to be zero