English

Cyclic division algebras and maximal tori

Representation Theory 2018-09-10 v2 Number Theory

Abstract

We show the cardinality of a particular nonabelian cohomology associated to cyclic division algebras is equal to a certain partition number. This computation helps us interpret the number of conjugacy classes of maximal tori defined over an abelian extension.

Keywords

Cite

@article{arxiv.1512.01628,
  title  = {Cyclic division algebras and maximal tori},
  author = {Yao-Rui Yeo},
  journal= {arXiv preprint arXiv:1512.01628},
  year   = {2018}
}

Comments

This paper is currently withdrawn due to a gap in the proof of the main theorem

R2 v1 2026-06-22T12:02:08.761Z