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Integer group determinants for three of the non-abelian groups of order 16

  • Yuka Yamaguchi,
  • Naoya Yamaguchi

摘要

For any positive integer n, let \(\textrm{C}_{n}\) C n be the cyclic group of order n. We determine all possible values of the integer group determinants for the non-abelian groups \(\textrm{C}_{2}^{2} \rtimes \textrm{C}_{4}\) C 2 2 C 4 , \(\textrm{C}_{4} \rtimes \textrm{C}_{4}\) C 4 C 4 and \(\textrm{C}_{8} \rtimes _{5} \textrm{C}_{2}\) C 8 5 C 2 of order 16.