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math.NT2009
On a conjecture of Parker about Dessins d'Enfants
Corneliu Hoffman
This note is concerned with the disproof of the most general case of Parker's conjecture. The conjecture relates a certain group theoretic objects to the field of moduli of a Dessi…
math.NT2009
Some Additive Combinatorics Problems in Matrix Rings
Ron Ferguson, Corneliu Hoffman, Florian Luca +2
We study the distribution of singular and unimodular matrices in sumsets in matrix rings over finite fields. We apply these results to estimate the largest prime divisor of the det…