English

The third Milgram-Priddy class lifts

K-Theory and Homology 2019-12-09 v2 Algebraic Topology Group Theory Representation Theory

Abstract

We show that the third cohomology of the finite general linear group GL6(F2)GL_6(\mathbb{F}_2) with trivial mod 2 coefficients is non-zero. The necessarily unique non-trivial element restricts to the third Milgram-Priddy class.

Keywords

Cite

@article{arxiv.1909.05064,
  title  = {The third Milgram-Priddy class lifts},
  author = {Markus Szymik},
  journal= {arXiv preprint arXiv:1909.05064},
  year   = {2019}
}

Comments

7 pages

R2 v1 2026-06-23T11:12:19.662Z