PDF files of articles are only available for institutions which have paid for the online version upon signing an Institutional User License.

Minimal group determinants and the Lind–Lehmer problem for dihedral groups

Volume 186 / 2018

Ton Boerkoel, Christopher Pinner Acta Arithmetica 186 (2018), 377-395 MSC: Primary 11R06, 15B36; Secondary 11B83, 11C08, 11C20, 11G50, 11R09, 11T22, 20C05, 43A40. DOI: 10.4064/aa180708-30-8 Published online: 5 November 2018


We find the minimal non-trivial integer variable group determinant for any dihedral group of order less than $3.79\times 10^{47}$. We think of this as the Lind–Lehmer problem for the dihedral group. We give a complete description of the determinants for some dihedral groups including $D_{2p}$ and $D_{4p}$.


  • Ton BoerkoelDepartment of Mathematics
    DigiPen Institute of Technology
    Redmond, WA 98052, U.S.A.
  • Christopher PinnerDepartment of Mathematics
    Kansas State University
    Manhattan, KS 66506, U.S.A.

Search for IMPAN publications

Query phrase too short. Type at least 4 characters.

Rewrite code from the image

Reload image

Reload image