English

Non cyclic division algebras of prime degree

Rings and Algebras 2020-09-15 v1

Abstract

This paper shows that pp primary components of certain generic crossed products are not crossed products. This applies in particular to primary components of prime degree, thus producing examples of division algebras of prime degree that are not cyclic.

Keywords

Cite

@article{arxiv.2009.05772,
  title  = {Non cyclic division algebras of prime degree},
  author = {Shmuel Rosset},
  journal= {arXiv preprint arXiv:2009.05772},
  year   = {2020}
}