Schur rings over infinite dihedral group

DOI10.1080/00927872.2024.2302085arXiv2305.08608WikidataQ130145546 ScholiaQ130145546MaRDI QIDQ6129292

Jia Wei He, Unnamed Author, Unnamed Author

Publication date: 16 April 2024

Published in: Communications in Algebra (Search for Journal in Brave)

Abstract: Schur rings over the infinite dihedral group $mathcalZtimesmathcal{Z}_2$ are studied according to properties of Schur rings over infinite groups and the classification of Schur rings over infinite cyclic groups. Schur rings over $mathcalZtimes{mathcalZ}_2$ are classified under the assumption that $mathcalZ$ is an $mathcalA$-subgroup. Those Schur rings are proved to be traditional.

Full work available at URL: https://arxiv.org/abs/2305.08608

zbMATH Keywords

Schur ringswedge productstraditional Schur rings

Mathematics Subject Classification ID

Association schemes, strongly regular graphs (05E30) Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items (1)

Schur rings over free abelian group of rank two

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