English

Subextensions for a permutation PSL(2,q)-module

Group Theory 2013-09-06 v1 K-Theory and Homology

Abstract

Using cohomological methods, we prove the existence of a subgroup isomorphic to SL(2,q), q = -1 (mod 4), in the permutation module for PSL(2,q) in characteristic 2 that arises from the action on the projective line. A similar problem for q = 1 (mod 4) is reduced to the determination of certain first cohomology groups.

Cite

@article{arxiv.1305.1431,
  title  = {Subextensions for a permutation PSL(2,q)-module},
  author = {Andrei Zavarnitsine},
  journal= {arXiv preprint arXiv:1305.1431},
  year   = {2013}
}
R2 v1 2026-06-22T00:12:38.530Z