Liftable groups, negligible cohomology and Heisenberg representations

Chandrashekhar B. Khare; Michael Larsen

Liftable groups, negligible cohomology and Heisenberg representations

Number Theory 2020-12-15 v3

Authors: Chandrashekhar B. Khare , Michael Larsen

Abstract

We consider lifting of mod p representations to mod p^2 representations in the setting of representations of (i) finite groups; (ii) absolute Galois groups of abstract fields; and (iii) absolute Galois groups of local and global fields.

Keywords

liftable groups negligible cohomology heisenberg representations mod p representations galois groups finite groups

Cite

@article{arxiv.2009.01301,
  title  = {Liftable groups, negligible cohomology and Heisenberg representations},
  author = {Chandrashekhar B. Khare and Michael Larsen},
  journal= {arXiv preprint arXiv:2009.01301},
  year   = {2020}
}

Comments

submitted for proceedings of the International Colloquium on Arithmetic Geometry held at TIFR, Mumbai in January 2020. In this version the results on liftable finite groups are improved due to a remark of Ali Cheraghi

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