Character groups of dihedral and generalized quaternion groups

DOI10.1142/s0219498823501414zbMath1520.20018OpenAlexW4214712573MaRDI QIDQ6108896

Jonathan D. H. Smith, Unnamed Author

Publication date: 30 June 2023

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498823501414

zbMATH Keywords

dihedral groupAdams operationscharacter ringPontryagin dualitygeneralized quaternion groupweighted quasigroup

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Ordinary representations and characters (20C15) Loops, quasigroups (20N05) (J)-homomorphism, Adams operations (19L20)

Cites Work

• Generalized latin rectangles I: Construction and decomposition
• Transformation groups and representation theory
• Generalized latin rectangles. II: Embedding
• Association schemes and fusion algebras. (An introduction)
• Characters of finite quasigroups. V: Linear characters
• Augmented quasigroups and character algebras
• The reconstruction of latin squares with applications to school timetabling and to experimental design
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