JOURNAL ARTICLE

Schur rings over infinite dihedral group

Gang ChenJia Wei HeZhiman Wu

Year: 2024 Journal:   Communications in Algebra Vol: 52 (6)Pages: 2534-2542   Publisher: Taylor & Francis

Abstract

Schur rings over the infinite dihedral group Z⋊Z2 are studied according to properties of Schur rings over infinite groups and the classification of Schur rings over infinite cyclic groups. Schur rings over Z⋊Z2 are classified under the assumption that Z is an A-subgroup. Those Schur rings are proved to be traditional.

Keywords:
Mathematics Dihedral group Dihedral angle Schur algebra Schur's lemma Pure mathematics Group (periodic table) Schur's theorem Schur multiplier Schur product theorem Schur decomposition Schur complement Combinatorics Symmetric group Alternating group Chemistry Physics Eigenvalues and eigenvectors

Metrics

1
Cited By
2.46
FWCI (Field Weighted Citation Impact)
10
Refs
0.70
Citation Normalized Percentile
Is in top 1%
Is in top 10%

Citation History

Topics

Finite Group Theory Research
Physical Sciences →  Mathematics →  Discrete Mathematics and Combinatorics
Geometric and Algebraic Topology
Physical Sciences →  Mathematics →  Geometry and Topology
Coding theory and cryptography
Physical Sciences →  Computer Science →  Artificial Intelligence

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