Sign in
Back
A GENERALIZATION OF THE GORESKY-KLAPPER CONJECTURE, PART I
Journal article   Peer reviewed

A GENERALIZATION OF THE GORESKY-KLAPPER CONJECTURE, PART I

Badria Alsulmi, Todd Cochrane, Michael J. Mossinghoff, Vincent Pigno, Chris Pinner, C. J. Richardson and Ian Thompson
SIAM journal on discrete mathematics, Vol.32(4), pp.2973-3002
01/01/2018
DOI: https://doi.org/10.1137/18M1186381

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
For a fixed integer n >= 2, we show that a permutation of the least residues mod p of the form f(x) = Ax(k) mod p cannot map a residue class mod n to just one residue class mod n once p is sufficiently large, other than the maps f(x) = +/- x mod p when n is even and f(x) = +/- x or +/- x((p+1)/2) mod p when n is odd.

Metrics

1 Record Views

Details