English

The Hurwitz Subgroups of $E_6(2)$

Group Theory 2018-10-10 v3

Abstract

We prove that the exceptional group E6(2)E_6(2) is not a Hurwitz group. In the course of proving this, we complete the classification up to conjugacy of all Hurwitz subgroups of E6(2)E_6(2), in particular, those isomorphic to L2(8)L_2(8) and L3(2)L_3(2).

Cite

@article{arxiv.1706.07970,
  title  = {The Hurwitz Subgroups of $E_6(2)$},
  author = {Emilio Pierro},
  journal= {arXiv preprint arXiv:1706.07970},
  year   = {2018}
}

Comments

10 pages. Several proofs clarified and corrected in v2

R2 v1 2026-06-22T20:28:34.095Z