The integer group determinants for the semidihedral group of order 16
Humberto Bautista Serrano, Bishnu Paudel, Chris Pinner
TL;DR
This paper provides a comprehensive analysis of the integer group determinants for the semidihedral group of order 16, offering a different methodological perspective from recent independent results.
Contribution
It presents a complete description of the integer group determinants for the semidihedral group of order 16 using a novel approach, complementing recent independent findings.
Findings
Complete description of integer group determinants for the semidihedral group of order 16
Different methodological approach from recent independent work
Provides insights useful for further algebraic and number theoretic research
Abstract
We obtain a complete description of the integer group determinants for SmallGroup(16,8), the semidihedral group of order 16. While this paper was in preparation, a complete descriptions for this group was independently obtained by Yuka Yamaguchi and Naoya Yamaguchi in [21] (and the other remaining group of order 16 in [20]). We offer our version here for anyone interested in a slightly different approach.
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Taxonomy
TopicsFinite Group Theory Research · graph theory and CDMA systems · Graph Labeling and Dimension Problems