The integer group determinants for the abelian groups of order 18

Fuente: arXiv
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Autori principali: Paudel, Bishnu, Pinner, Chris
Natura: Preprint
Pubblicazione: 2024
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author Paudel, Bishnu
Pinner, Chris
author_facet Paudel, Bishnu
Pinner, Chris
contents We obtain a complete description of the integer group determinants for $\mathbb Z_{18}$ (these are the $18\times18$ circulant determinants with integer entries) and $\mathbb Z_3 \times \mathbb Z_6$, the two abelian groups of order 18. This completes the groups of order less than 20.
format Preprint
id arxiv_https___arxiv_org_abs_2412_10638
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle The integer group determinants for the abelian groups of order 18
Paudel, Bishnu
Pinner, Chris
Number Theory
11C20, 15B36
We obtain a complete description of the integer group determinants for $\mathbb Z_{18}$ (these are the $18\times18$ circulant determinants with integer entries) and $\mathbb Z_3 \times \mathbb Z_6$, the two abelian groups of order 18. This completes the groups of order less than 20.
title The integer group determinants for the abelian groups of order 18
topic Number Theory
11C20, 15B36
url https://arxiv.org/abs/2412.10638