English

Extensions of the Benson-Solomon fusion systems

Group Theory 2019-06-25 v3

Abstract

The Benson-Solomon systems comprise the only known family of simple saturated fusion systems at the prime two that do not arise as the fusion system of any finite group. We determine the automorphism groups and the possible almost simple extensions of these systems and of their centric linking systems.

Keywords

Cite

@article{arxiv.1701.06949,
  title  = {Extensions of the Benson-Solomon fusion systems},
  author = {Ellen Henke and Justin Lynd},
  journal= {arXiv preprint arXiv:1701.06949},
  year   = {2019}
}

Comments

v1: 14 pages; v2: minor changes; v3: typo fixing