Basic Invariants of the Complex Reflection Group No.34 Constructed by Conway and Sloane
Manabu Oura, Jiro Sekiguchi
TL;DR
This paper investigates the fundamental invariants of a specific complex reflection group, providing insights into its structure and properties as constructed by Conway and Sloane.
Contribution
It offers a detailed analysis of the basic invariants of the Shephard-Todd group No.34, enhancing understanding of its algebraic and geometric features.
Findings
Identification of key invariants for the group
Characterization of invariants' algebraic relations
Implications for symmetry and group theory
Abstract
This paper studies the basic invariants, constructed by Conway and Sloane, of the complex reflection group numbered as 34 in the list of Shephard-Todd \cite{ST}.
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Taxonomy
TopicsFinite Group Theory Research · Advanced Algebra and Geometry · graph theory and CDMA systems