The group determinants for ℤₙ × H

Let ℤₙ denote the cyclic group of order n. We show how the group determinant for G = ℤₙ × H can be simply written in terms of the group determinant for H. We use this to get a complete description of the integer group determinants for ℤ₂ × D₈ where D₈ is the dihedral group of order 8, and ℤ₂ × Q₈ wh...

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Bibliographic Details
Published in:Notes on Number Theory and Discrete Mathematics
Main Authors: Bishnu Paudel, Chris Pinner
Format: Article
Language:English
Published: "Prof. Marin Drinov" Publishing House of Bulgarian Academy of Sciences 2023-08-01
Subjects:
Online Access:https://nntdm.net/papers/nntdm-29/NNTDM-29-3-603-619.pdf