English

Sectional rank and Cohomology

Representation Theory 2018-07-20 v1 Group Theory

Abstract

We prove that there is a bound on the dimension of the first cohomology group of a finite group with coefficients in an absolutely irreducible in characteristic p in terms of the sectional p-rank of the group.

Keywords

Cite

@article{arxiv.1807.07233,
  title  = {Sectional rank and Cohomology},
  author = {Robert M. Guralnick and Pham Huu Tiep},
  journal= {arXiv preprint arXiv:1807.07233},
  year   = {2018}
}