On nilpotent Schur groups

Grigory Ryabov

On nilpotent Schur groups

Group Theory 2022-09-02 v1 Combinatorics

Authors: Grigory Ryabov

Abstract

A finite group $G$ is called a Schur group if every $S$ -ring over $G$ is schurian, i.e. associated in a natural way with a subgroup of $\sym(G)$ that contains all right translations. We prove that every nonabelian nilpotent Schur group belongs to one of the explicitly given families of groups.

Keywords

finite group theory nilpotent groups group theory

Cite

@article{arxiv.2209.00286,
  title  = {On nilpotent Schur groups},
  author = {Grigory Ryabov},
  journal= {arXiv preprint arXiv:2209.00286},
  year   = {2022}
}

Comments

11 pages

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