Schur rings over infinite dihedral group

Gang Chen; Jiawei He; Zhiman Wu

Schur rings over infinite dihedral group

Combinatorics 2023-05-16 v1

Authors: Gang Chen , Jiawei He , Zhiman Wu

Abstract

Schur rings over the infinite dihedral group $\mathcal{Z}\rtimes\mathcal{Z}_2$ are studied according to properties of Schur rings over infinite groups and the classification of Schur rings over infinite cyclic groups. Schur rings over $\mathcal{Z}\rtimes{\mathcal{Z}}_2$ are classified under the assumption that $\mathcal{Z}$ is an $\mathcal{A}$ -subgroup. Those Schur rings are proved to be traditional.

Keywords

wreath product of groups commutative ring theory

Cite

@article{arxiv.2305.08608,
  title  = {Schur rings over infinite dihedral group},
  author = {Gang Chen and Jiawei He and Zhiman Wu},
  journal= {arXiv preprint arXiv:2305.08608},
  year   = {2023}
}

Comments

arXiv admin note: text overlap with arXiv:2009.01443

Schur rings over infinite dihedral group

Abstract

Keywords

Cite

Comments

Related papers